35 Partial differential equations
35Bxx Qualitative properties of solutions (
1 articles)
35B65 Smoothness and regularity of solutions of PDE (102 articles)
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Kim, Sungchol; Ri, Dukman:
$C^{1,\alpha }$ regularity for elliptic equations with the general nonstandard growth conditions.
(English).
Mathematica Bohemica,
vol. 149
(2024),
issue 3,
pp. 365-396
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Melenk, Jens Markus; Rojik, Claudio:
A note on the shift theorem for the Laplacian in polygonal domains.
(English).
Applications of Mathematics,
vol. 69
(2024),
issue 5,
pp. 653-693
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Boukarou, Aissa; Guerbati, Kaddour; Zennir, Khaled:
On the radius of spatial analyticity for the higher order nonlinear dispersive equation.
(English).
Mathematica Bohemica,
vol. 147
(2022),
issue 1,
pp. 19-32
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Zhang, Zujin; Tong, Chenxuan:
Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations.
(English).
Applications of Mathematics,
vol. 67
(2022),
issue 4,
pp. 485-507
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Zhang, Zujin; Zhang, Yali:
An improved regularity criteria for the MHD system based on two components of the solution.
(English).
Applications of Mathematics,
vol. 66
(2021),
issue 3,
pp. 451-460
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Liu, Ruikuan; Yang, Jiayan:
Global strong solutions of a 2-D new magnetohydrodynamic system.
(English).
Applications of Mathematics,
vol. 65
(2020),
issue 1,
pp. 105-120
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Zhang, Zujin; Wu, Chupeng; Zhou, Yong:
On ratio improvement of Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system.
(English).
Czechoslovak Mathematical Journal,
vol. 69
(2019),
issue 4,
pp. 1165-1175
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Dall'Aglio, Andrea; Segura de León, Sergio:
Regularity of renormalized solutions to nonlinear elliptic equations away from the support of measure data.
(English).
Czechoslovak Mathematical Journal,
vol. 69
(2019),
issue 2,
pp. 379-390
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Arkhipova, Arina A.; Stará, Jana:
Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 60
(2019),
issue 2,
pp. 231-267
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Zhang, Zujin; Yuan, Weijun; Zhou, Yong:
Some remarks on the Navier-Stokes equations with regularity in one direction.
(English).
Applications of Mathematics,
vol. 64
(2019),
issue 3,
pp. 301-308
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Hošek, Radim; Mácha, Václav:
Weak-strong uniqueness for Navier-Stokes/Allen-Cahn system.
(English).
Czechoslovak Mathematical Journal,
vol. 69
(2019),
issue 3,
pp. 837-851
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Bonafede, Salvatore:
Hölder continuity of bounded generalized solutions for some degenerated quasilinear elliptic equations with natural growth terms.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 59
(2018),
issue 1,
pp. 45-64
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Zhang, Zujin:
Serrin-type regularity criterion for the Navier-Stokes equations involving one velocity and one vorticity component.
(English).
Czechoslovak Mathematical Journal,
vol. 68
(2018),
issue 1,
pp. 219-225
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Mácha, Václav:
A short note on $L^q$ theory for Stokes problem with a pressure-dependent viscosity.
(English).
Czechoslovak Mathematical Journal,
vol. 66
(2016),
issue 2,
pp. 317-329
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Sani, Ahmed; Laasri, Hafida:
Evolution equations governed by Lipschitz continuous non-autonomous forms.
(English).
Czechoslovak Mathematical Journal,
vol. 65
(2015),
issue 2,
pp. 475-491
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Yamazaki, Kazuo:
On the global regularity of $N$-dimensional generalized Boussinesq system.
(English).
Applications of Mathematics,
vol. 60
(2015),
issue 2,
pp. 109-133
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Neustupa, Jiří:
A geometric improvement of the velocity-pressure local regularity criterion for a suitable weak solution to the Navier-Stokes equations.
(English).
Mathematica Bohemica,
vol. 139
(2014),
issue 4,
pp. 685-698
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Nittka, Robin:
Inhomogeneous parabolic Neumann problems.
(English).
Czechoslovak Mathematical Journal,
vol. 64
(2014),
issue 3,
pp. 703-742
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Druet, Pierre-Etienne:
Global Lipschitz continuity for elliptic transmission problems with a boundary intersecting interface.
(English).
Mathematica Bohemica,
vol. 138
(2013),
issue 2,
pp. 185-224
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Hung, Nguyen Manh; Long, Hoang Viet; Son, Nguyen Thi Kim:
On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points.
(English).
Applications of Mathematics,
vol. 58
(2013),
issue 1,
pp. 63-91
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Breit, Dominic:
Smoothness properties of solutions to the nonlinear Stokes problem with nonautonomous potentials.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 54
(2013),
issue 4,
pp. 493-508
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You, Shujun; Guo, Boling; Ning, Xiaoqi:
Initial boundary value problem for generalized Zakharov equations.
(English).
Applications of Mathematics,
vol. 57
(2012),
issue 6,
pp. 581-599
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Han, Pigong:
Interior regularity of weak solutions to the perturbed Navier-Stokes equations.
(English).
Applications of Mathematics,
vol. 57
(2012),
issue 5,
pp. 427-444
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Boussandel, Sahbi; Chill, Ralph; Fašangová, Eva:
Maximal regularity, the local inverse function theorem, and local well-posedness for the curve shortening flow.
(English).
Czechoslovak Mathematical Journal,
vol. 62
(2012),
issue 2,
pp. 335-346
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Itou, Hiromichi; Kovtunenko, Victor A.; Tani, Atusi:
The interface crack with Coulomb friction between two bonded dissimilar elastic media.
(English).
Applications of Mathematics,
vol. 56
(2011),
issue 1,
pp. 69-97
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Schadewaldt, Nicole:
The microstructure of Lipschitz solutions for a one-dimensional logarithmic diffusion equation.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 52
(2011),
issue 2,
pp. 227-255
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Veraar, Mark; Weis, Lutz:
A note on maximal estimates for stochastic convolutions.
(English).
Czechoslovak Mathematical Journal,
vol. 61
(2011),
issue 3,
pp. 743-758
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Krejčí, Pavel; Panizzi, Lucia:
Regularity and uniqueness in quasilinear parabolic systems.
(English).
Applications of Mathematics,
vol. 56
(2011),
issue 4,
pp. 341-370
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Aramaki, Junichi:
Estimate of the Hausdorff measure of the singular set of a solution for a semi-linear elliptic equation associated with superconductivity.
(English).
Archivum Mathematicum,
vol. 46
(2010),
issue 3,
pp. 185-201
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Farwig, R.; Sohr, H.:
Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in $\Bbb R^n$.
(English).
Czechoslovak Mathematical Journal,
vol. 59
(2009),
issue 1,
pp. 61-79
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Vasseur, Alexis:
Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity.
(English).
Applications of Mathematics,
vol. 54
(2009),
issue 1,
pp. 47-52
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Fattorusso, Luisa:
A global differentiability result for solutions of nonlinear elliptic problems with controlled growths.
(English).
Czechoslovak Mathematical Journal,
vol. 58
(2008),
issue 1,
pp. 113-129
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Wolf, Jörg:
Interior regularity of weak solutions to the equations of a stationary motion of a non-Newtonian fluid with shear-dependent viscosity. The case $q=\frac{3d}{d+2}$.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 48
(2007),
issue 4,
pp. 659-668
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Li, Fengquan:
Regularity for entropy solutions of a class of parabolic equations with irregular data.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 48
(2007),
issue 1,
pp. 69-82
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Huy, Nguyen Duc; Stará, Jana:
On existence and regularity of solutions to a class of generalized stationary Stokes problem.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 47
(2006),
issue 2,
pp. 241-264
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Medková, Dagmar:
Boundedness of the solution of the third problem for the Laplace equation.
(English).
Czechoslovak Mathematical Journal,
vol. 55
(2005),
issue 2,
pp. 317-340
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Montgomery-Smith, Stephen:
Conditions implying regularity of the three dimensional Navier-Stokes equation.
(English).
Applications of Mathematics,
vol. 50
(2005),
issue 5,
pp. 451-464
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Rocca, Elisabetta:
Well-posedness and regularity for a parabolic-hyperbolic Penrose-Fife phase field system.
(English).
Applications of Mathematics,
vol. 50
(2005),
issue 5,
pp. 415-450
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Daněček, Josef; Nikodým, Marek:
An example of a nonlinear second order elliptic system in three dimension.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 45
(2004),
issue 3,
pp. 431-442
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Idone, Giovanna:
Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two.
(English).
Czechoslovak Mathematical Journal,
vol. 54
(2004),
issue 4,
pp. 817-841
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Leonardi, S.:
A maximum principle for linear elliptic systems with discontinuous coefficients.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 45
(2004),
issue 3,
pp. 457-474
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Penel, Patrick; Pokorný, Milan:
Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity.
(English).
Applications of Mathematics,
vol. 49
(2004),
issue 5,
pp. 483-493
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Skalák, Zdeněk:
Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class $L^\infty (0,T,L^3(\Omega )^3)$.
(English).
Applications of Mathematics,
vol. 48
(2003),
issue 2,
pp. 153-159
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Neustupa, Jiří:
The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure.
(English).
Applications of Mathematics,
vol. 48
(2003),
issue 6,
pp. 547-558
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Marchi, Silvana:
$C^{1,\alpha}$ local regularity for the solutions of the $p$-Laplacian on the Heisenberg group. The case $1+\frac{1}{\sqrt{5}}<p\le2$.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 44
(2003),
issue 1,
pp. 33-56
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Medková, Dagmar:
Continuous extendibility of solutions of the Neumann problem for the Laplace equation.
(English).
Czechoslovak Mathematical Journal,
vol. 53
(2003),
issue 2,
pp. 377-395
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Medková, Dagmar:
Continuous extendibility of solutions of the third problem for the Laplace equation.
(English).
Czechoslovak Mathematical Journal,
vol. 53
(2003),
issue 3,
pp. 669-688
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Skalák, Zdeněk:
Conditions of Prodi-Serrin's type for local regularity of suitable weak solutions to the Navier-Stokes equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 43
(2002),
issue 4,
pp. 619-639
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Di Fazio, Giuseppe; Fanciullo, Maria Stella:
Gradient estimates for elliptic systems in Carnot-Carathéodory spaces.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 43
(2002),
issue 4,
pp. 605-618
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Saddi, Adel:
Holomorphic subordinated semigroups.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 43
(2002),
issue 3,
pp. 457-466
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Leonardi, S.:
Weighted Miranda-Talenti inequality and applications to equations with discontinuous coefficients.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 43
(2002),
issue 1,
pp. 43-59
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Neustupa, Jiří; Pokorný, Milan:
Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component.
(English).
Mathematica Bohemica,
vol. 126
(2001),
issue 2,
pp. 469-481
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Kahane, Charles S.:
A gradient estimate for solutions of the heat equation. II.
(English).
Czechoslovak Mathematical Journal,
vol. 51
(2001),
issue 1,
pp. 39-44
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Amrouche, Cherif; Nečasová, Šárka:
Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition.
(English).
Mathematica Bohemica,
vol. 126
(2001),
issue 2,
pp. 265-274
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Ragusa, Maria Alessandra; Zamboni, Pietro:
A potential theoretic inequality.
(English).
Czechoslovak Mathematical Journal,
vol. 51
(2001),
issue 1,
pp. 55-65
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Morimoto, H.; Fujita, H.:
A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition.
(English).
Mathematica Bohemica,
vol. 126
(2001),
issue 2,
pp. 457-468
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Daněček, Josef; Viszus, Eugen:
A note on regularity for nonlinear elliptic systems.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 3,
pp. 229-237
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Carozza, Menita; Passarelli di Napoli, Antonia:
On very weak solutions of a class of nonlinear elliptic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 41
(2000),
issue 3,
pp. 493-508
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Ragusa, Maria Alessandra:
Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 40
(1999),
issue 4,
pp. 651-663
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Bochniak, M.; Sändig, A.-M.:
Local solvability and regularity results for a class of semilinear elliptic problems in nonsmooth domains.
(English).
Mathematica Bohemica,
vol. 124
(1999),
issue 2,
pp. 245-254
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Lieberman, Gary M.:
Nonuniqueness for some linear oblique derivative problems for elliptic equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 40
(1999),
issue 3,
pp. 477-481
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Naumann, J.; Wolf, J.; Wolff, M.:
On the Hölder continuity of weak solutions to nonlinear parabolic systems in two space dimensions.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 39
(1998),
issue 2,
pp. 237-255
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Lemoine, Jérôme:
On non-homogeneous viscous incompressible fluids. Existence of regular solutions.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 38
(1997),
issue 4,
pp. 697-715
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Daněček, Josef; Viszus, Eugen:
A note on regular points for solutions of nonlinear elliptic systems.
(English).
Archivum Mathematicum,
vol. 32
(1996),
issue 2,
pp. 105-116
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Daněček, Josef:
On $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear elliptic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 37
(1996),
issue 3,
pp. 523-536
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Jarušek, Jiří:
Regularity and optimal control of quasicoupled and coupled heating processes.
(English).
Applications of Mathematics,
vol. 41
(1996),
issue 2,
pp. 81-106
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Hao, Wenge; Leonardi, Salvatore; Steinhauer, Mark:
Examples of discontinuous, divergence-free solutions to elliptic variational problems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 36
(1995),
issue 3,
pp. 511-517
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Kawashima, Shuichi; Shibata, Yoshihiro:
On the Neumann problem of one-dimensional nonlinear thermoelasticity with time-independent external forces.
(English).
Czechoslovak Mathematical Journal,
vol. 45
(1995),
issue 1,
pp. 39-67
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Stará, Jana; John, Oldřich:
Some (new) counterexamples of parabolic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 36
(1995),
issue 3,
pp. 503-510
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Ježková, Jana:
Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 35
(1994),
issue 1,
pp. 63-80
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Kalita, E.:
On the Hölder continuity of solutions of nonlinear parabolic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 35
(1994),
issue 4,
pp. 675-680
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Balanda, Lubomír; Viszus, Eugen:
On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order.
(English).
Mathematica Bohemica,
vol. 117
(1992),
issue 4,
pp. 373-392
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Jarušek, Jiří:
On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. III.
(English).
Applications of Mathematics,
vol. 37
(1992),
issue 4,
pp. 275-288
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Jarušek, Jiří:
On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. II.
(English).
Applications of Mathematics,
vol. 36
(1991),
issue 3,
pp. 161-180
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Bensoussan, Alain; Frehse, Jens:
$C^\alpha$-regularity results for quasilinear parabolic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 31
(1990),
issue 3,
pp. 453-474
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Viszus, Eugen:
On the regularity up to the boundary for higher order quasilinear elliptic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 31
(1990),
issue 2,
pp. 295-306
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Feireisl, Eduard:
Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity.
(English).
Aplikace matematiky,
vol. 35
(1990),
issue 3,
pp. 184-191
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Nekvinda, Aleš; Pick, Luboš:
A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight $d^\epsilon_M$.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 29
(1988),
issue 1,
pp. 63-71
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Kottas, Jiří:
Interior regularity for the quasilinear elliptic systems with nonsmooth coefficients.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 1,
pp. 95-102
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Stará, Jana; Daněček, Josef; John, Oldřich:
Liouville type condition and the interior regularity of quasilinear parabolic system (the case of BMO-solutions).
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 1,
pp. 103-109
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Stará, Jana; John, Oldřich; Malý, Jan:
Counterexample to the regularity of weak solution of the quasilinear parabolic system.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 27
(1986),
issue 1,
pp. 123-136
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Daněček, Josef:
Regularity for nonlinear elliptic systems of second order.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 27
(1986),
issue 4,
pp. 755-764
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Kačur, Jozef:
Smoothing effect and regularity for linear parabolic equations.
(English).
Czechoslovak Mathematical Journal,
vol. 36
(1986),
issue 4,
pp. 564-585
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Biroli, Marco:
Nonlinear parabolic variational inequalities.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 26
(1985),
issue 1,
pp. 23-39
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Amann, Herbert:
Semilinear parabolic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 26
(1985),
issue 1,
pp. 3-21
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Struwe, Michael:
A counterexample in regularity theory for parabolic systems.
(English).
Czechoslovak Mathematical Journal,
vol. 34
(1984),
issue 2,
pp. 183-188
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John, Oldřich; Stará, Jana:
On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 25
(1984),
issue 3,
pp. 445-457
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Souček, Jiří:
Singular solutions to linear elliptic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 25
(1984),
issue 2,
pp. 273-281
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Nečas, Jindřich; John, Oldřich; Stará, Jana:
Counterexample to the regularity of weak solution of elliptic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 21
(1980),
issue 1,
pp. 145-154
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Giaquinta, Mariano; Nečas, Jindřich:
On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 20
(1979),
issue 1,
pp. 111-121