35 Partial differential equations
35K55 Nonlinear PDE of parabolic type (111 articles)
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Malek, Alaeddin; Ebrahim Nataj, Roghayeh; Yazdanpanah, Mohamad Javad:
Efficient algorithm to solve optimal boundary control problem for Burgers' equation.
(English).
Kybernetika,
vol. 48
(2012),
issue 6,
pp. 1250-1265
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Miranville, Alain:
On a phase-field model with a logarithmic nonlinearity.
(English).
Applications of Mathematics,
vol. 57
(2012),
issue 3,
pp. 215-229
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Oberhuber, Tomáš; Suzuki, Atsushi; Žabka, Vítězslav:
The CUDA implementation of the method of lines for the curvature dependent flows.
(English).
Kybernetika,
vol. 47
(2011),
issue 2,
pp. 251-272
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Fučík, Radek; Mikyška, Jiří:
Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium.
(English).
Mathematica Bohemica,
vol. 136
(2011),
issue 4,
pp. 395-403
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Jangveladze, Temur A.; Kiguradze, Zurab V.:
Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance.
(English).
Applications of Mathematics,
vol. 55
(2010),
issue 6,
pp. 471-493
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Fterich, Nesrine:
Global solution to a generalized nonisothermal Ginzburg-Landau system.
(English).
Applications of Mathematics,
vol. 55
(2010),
issue 1,
pp. 1-46
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Essel, Emmanuel Kwame; Kuliev, Komil; Kulieva, Gulchehra; Persson, Lars-Erik:
Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence.
(English).
Applications of Mathematics,
vol. 55
(2010),
issue 4,
pp. 305-327
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Voigt, Axel; Witkowski, Thomas:
Hybrid parallelization of an adaptive finite element code.
(English).
Kybernetika,
vol. 46
(2010),
issue 2,
pp. 316-327
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Kunstmann, Peer Christian:
Navier-Stokes equations on unbounded domains with rough initial data.
(English).
Czechoslovak Mathematical Journal,
vol. 60
(2010),
issue 2,
pp. 297-313
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Druet, Pierre-Etienne:
Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary $p$-summable right-hand side.
(English).
Applications of Mathematics,
vol. 55
(2010),
issue 2,
pp. 111-149
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Miyamoto, Yuki; Nagasawa, Takeyuki; Suto, Fumito:
How to unify the total/local-length-constraints of the gradient flow for the bending energy of plane curves.
(English).
Kybernetika,
vol. 45
(2009),
issue 4,
pp. 615-624
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Cherfils, Laurence; Miranville, Alain:
On the Caginalp system with dynamic boundary conditions and singular potentials.
(English).
Applications of Mathematics,
vol. 54
(2009),
issue 2,
pp. 89-115
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Murakawa, Hideki:
A solution of nonlinear diffusion problems by semilinear reaction-diffusion systems.
(English).
Kybernetika,
vol. 45
(2009),
issue 4,
pp. 580-590
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Zhan, Huashui:
Large time behavior of solutions to a class of doubly nonlinear parabolic equations.
(English).
Applications of Mathematics,
vol. 53
(2008),
issue 6,
pp. 521-533
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Ito, Akio; Kenmochi, Nobuyuki; Yamazaki, Noriaki:
A phase-field model of grain boundary motion.
(English).
Applications of Mathematics,
vol. 53
(2008),
issue 5,
pp. 433-454
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Nabongo, Diabate; Boni, Théodore K.:
Quenching for semidiscretizations of a semilinear heat equation with Dirichlet and Neumann boundary conditions.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 49
(2008),
issue 3,
pp. 463-475
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Handlovičová, Angela; Mikula, Karol:
Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation.
(English).
Applications of Mathematics,
vol. 53
(2008),
issue 2,
pp. 105-129
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Ogawa, Toshiyuki; Okuda, Takashi:
Bifurcations for Turing instability without SO(2) symmetry.
(English).
Kybernetika,
vol. 43
(2007),
issue 6,
pp. 869-877
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Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex:
Counting number of cells and cell segmentation using advection-diffusion equations.
(English).
Kybernetika,
vol. 43
(2007),
issue 6,
pp. 817-829
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Oberhuber, Tomáš:
Finite difference scheme for the Willmore flow of graphs.
(English).
Kybernetika,
vol. 43
(2007),
issue 6,
pp. 855-867
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Krivá, Zuzana:
Finite-volume level set method and its adaptive version in completing subjective contours.
(English).
Kybernetika,
vol. 43
(2007),
issue 4,
pp. 509-522
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El Ouardi, Hamid:
On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories.
(English).
Archivum Mathematicum,
vol. 43
(2007),
issue 4,
pp. 289-303
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Handlovičová, Angela:
Perona-Malik equation: properties of explicit finite volume scheme.
(English).
Kybernetika,
vol. 43
(2007),
issue 4,
pp. 523-532
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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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Park, Jong Yeoul; Kim, Hyun Min; Park, Sun Hye:
Anti-periodic solutions to a parabolic hemivariational inequality.
(English).
Kybernetika,
vol. 40
(2004),
issue 4,
pp. [477]-489
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Cholewa, Jan W.; Dlotko, Tomasz:
Cauchy problems in weighted Lebesgue spaces.
(English).
Czechoslovak Mathematical Journal,
vol. 54
(2004),
issue 4,
pp. 991-1013
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Fattorusso, Luisa:
Differentiability of weak solutions of nonlinear second order parabolic systems with quadratic growth and nonlinearity $q\ge 2$.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 45
(2004),
issue 1,
pp. 73-90
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Bonafede, Salvatore; Nicolosi, Francesco:
On some properties of solutions of quasilinear degenerate parabolic equations in $\mathbb R^m \times (0, + \infty )$.
(English).
Mathematica Bohemica,
vol. 129
(2004),
issue 2,
pp. 113-123
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Vala, Jiří:
The method of Rothe and two-scale convergence in nonlinear problems.
(English).
Applications of Mathematics,
vol. 48
(2003),
issue 6,
pp. 587-606
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Slodička, Marián:
Recovery of an unknown flux in parabolic problems with nonstandard boundary conditions: Error estimates.
(English).
Applications of Mathematics,
vol. 48
(2003),
issue 1,
pp. 49-66
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Becker, Jürgen; Grün, Günther; Lenz, Martin; Rumpf, Martin:
Numerical methods for fourth order nonlinear degenerate diffusion problems.
(English).
Applications of Mathematics,
vol. 47
(2002),
issue 6,
pp. 517-543
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Ďurikovič, Vladimír; Ďurikovičová, Monika:
On $F$-differentiable Fredholm operators of nonstationary initial-boundary value problems.
(English).
Archivum Mathematicum,
vol. 38
(2002),
issue 3,
pp. 227-241
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Quittner, Pavol:
A priori bounds for solutions of parabolic problems and applications.
(English).
Mathematica Bohemica,
vol. 127
(2002),
issue 2,
pp. 329-341
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Arkhipova, A. A.:
Solvability problem for strong-nonlinear nondiagonal parabolic system.
(English).
Mathematica Bohemica,
vol. 127
(2002),
issue 2,
pp. 131-138
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Poláčik, P.:
Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations.
(English).
Mathematica Bohemica,
vol. 127
(2002),
issue 2,
pp. 301-310
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Arkhipova, A.:
Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 42
(2001),
issue 1,
pp. 53-76
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Papageorgiou, Nikolaos S.; Yannakakis, Nikolaos:
Existence of extremal periodic solutions for nonlinear evolution inclusions.
(English).
Archivum Mathematicum,
vol. 37
(2001),
issue 1,
pp. 9-23
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Constales, D.; Kačur, J.:
On the solution of inverse problems for generalized oxygen consumption.
(English).
Applications of Mathematics,
vol. 46
(2001),
issue 2,
pp. 145-155
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Arkhipova, A.:
Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic growth nonlinearities I. On the continuability of smooth solutions.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 41
(2000),
issue 4,
pp. 693-718
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Kirane, M.; Tatar, N.-E.:
Global existence and stability of some semilinear problems.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 1,
pp. 33-44
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Simon, László:
On parabolic functional differential equations in unbounded domains.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 603-616
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Cardinali, Tiziana; Papageorgiou, Nikolaos S.:
Periodic problems and problems with discontinuities for nonlinear parabolic equations.
(English).
Czechoslovak Mathematical Journal,
vol. 50
(2000),
issue 3,
pp. 467-497
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Schimperna, Giulio:
Singular limit of a transmission problem for the parabolic phase-field model.
(English).
Applications of Mathematics,
vol. 45
(2000),
issue 3,
pp. 217-238
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Aiki, Toyohiko; Imai, Hitoshi:
Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation.
(English).
Czechoslovak Mathematical Journal,
vol. 50
(2000),
issue 1,
pp. 135-153
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Vala, Jiří:
A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations.
(English).
Applications of Mathematics,
vol. 44
(1999),
issue 6,
pp. 481-496
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Halidias, Nikolaos; Papageorgiou, Nikolaos S.:
Existence of solutions for nonlinear parabolic problems.
(English).
Archivum Mathematicum,
vol. 35
(1999),
issue 3,
pp. 255-274
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Boni, Théodore K.:
On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 40
(1999),
issue 3,
pp. 457-475
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Ďurikovič, Vladimír; Ďurikovičová, Mária:
Some generic properties of nonlinear second order diffusional type problem.
(English).
Archivum Mathematicum,
vol. 35
(1999),
issue 3,
pp. 229-244
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Fašangová, Eva:
Asymptotic analysis for a nonlinear parabolic equation on $\Bbb R$.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 39
(1998),
issue 3,
pp. 525-544
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Guowang, Chen:
Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 39
(1998),
issue 1,
pp. 15-38
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Krejčí, Pavel; Sprekels, Jürgen:
Hysteresis operators in phase-field models of Penrose-fife type.
(English).
Applications of Mathematics,
vol. 43
(1998),
issue 3,
pp. 207-222
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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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Medveď, Milan:
Singular integral inequalities and stability of semilinear parabolic equations.
(English).
Archivum Mathematicum,
vol. 34
(1998),
issue 1,
pp. 183-190
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Liang, Xiting,; Zaide, Wu:
The a priori estimate of the maximum modulus to solutions of doubly nonlinear parabolic equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 38
(1997),
issue 1,
pp. 109-119
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Viszus, Eugen:
A note on regular points for solutions of parabolic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 37
(1996),
issue 3,
pp. 557-563
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Ševčovič, Daniel:
The C$^1$ stability of slow manifolds for a system of singularly perturbed evolution equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 36
(1995),
issue 1,
pp. 89-107
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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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Chen, Guowang:
Classical global solutions of the initial boundary value problems for a class of nonlinear parabolic equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 35
(1994),
issue 3,
pp. 431-443
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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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Kim, Wan Se:
A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 34
(1993),
issue 3,
pp. 425-431
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Papageorgiou, Nikolaos S.:
On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 34
(1993),
issue 4,
pp. 673-687
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Dłotko, Tomasz:
Local solvability of diagonal semilinear parabolic systems.
(English).
Czechoslovak Mathematical Journal,
vol. 41
(1991),
issue 4,
pp. 634-640
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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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Kossaczká, Lubica:
Integral manifold of the parabolic differential equation with deviating argument.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 30
(1989),
issue 2,
pp. 253-260
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Avgerinos, Evgenios P.; Papageorgiou, Nikolaos S.:
Non-convex perturbations of evolution equations with $m$-dissipative operators in Banach spaces.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 30
(1989),
issue 4,
pp. 657-664
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Kačur, Jozef:
On $L_\infty$-convergence of Rothe's method.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 30
(1989),
issue 3,
pp. 505-510
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Filo, Ján:
Uniform bounds for solutions of a degenerate diffusion equation with nonlinear boundary conditions.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 30
(1989),
issue 3,
pp. 485-495
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Fila, Marek; Filo, Ján:
Blow up above stationary solutions of certain nonlinear parabolic equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 29
(1988),
issue 1,
pp. 179-193
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Pluschke, Volker:
Local solution of parabolic equations with strongly increasing nonlinearity by the Rothe method.
(English).
Czechoslovak Mathematical Journal,
vol. 38
(1988),
issue 4,
pp. 642-654
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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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Šedová, Ľubica:
Parabolic equations with deviating argument in advance.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 28
(1987),
issue 4,
pp. 613-628
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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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Drábek, Pavel; Kučera, Milan; Míková, Marta:
Bifurcation points of reaction-diffusion systems with unilateral conditions.
(English).
Czechoslovak Mathematical Journal,
vol. 35
(1985),
issue 4,
pp. 639-660
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Haraux, Alain:
Large time behaviour of the solutions to some nonlinear evolution equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 26
(1985),
issue 1,
pp. 91-109
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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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Struwe, Michael:
Some regularity results for quasi-linear parabolic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 26
(1985),
issue 1,
pp. 129-150
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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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Roubíček, Tomáš:
Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem.
(English).
Kybernetika,
vol. 20
(1984),
issue 5,
pp. 405-412
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John, Oldřich:
The interior regularity and the Liouville property for the quasilinear parabolic systems.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 23
(1982),
issue 4,
pp. 685-690
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Šťastnová, Věnceslava; Fučík, Svatopluk:
Note to periodic solvability of the boundary value problem for nonlinear heat equation.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 18
(1977),
issue 4,
pp. 735-740
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Gajewski, Herbert:
On iterative solution of nonlinear heat-conduction and diffusion problems.
(English).
Aplikace matematiky,
vol. 22
(1977),
issue 2,
pp. 77-91
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