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35K20 Boundary value problems for second-order, parabolic equations (72 articles)

• Ra, Sungjin; Jang, Choljin; Hong, Jinmyong: Semiclassical limit of a simplified quantum energy-transport model for bipolar semiconductors. (English). Applications of Mathematics, vol. 69 (2024), issue 4, pp. 513-540
• Cheng, Hongmei; Fang, Qinhe; Xia, Yang: A free boundary problem for some modified predator-prey model in a higher dimensional environment. (English). Applications of Mathematics, vol. 67 (2022), issue 5, pp. 615-632
• Danielsson, Tatiana; Johnsen, Pernilla: Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matchings between the microscopic scales. (English). Mathematica Bohemica, vol. 146 (2021), issue 4, pp. 483-511
• Boussandel, Sahbi: Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications. (English). Applications of Mathematics, vol. 63 (2018), issue 4, pp. 423-437
• Johnsen, Pernilla; Lobkova, Tatiana: Homogenization of a linear parabolic problem with a certain type of matching between the microscopic scales. (English). Applications of Mathematics, vol. 63 (2018), issue 5, pp. 503-521
• Vala, Jiří: Computational design optimization of low-energy buildings. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 265-274
• Vala, Jiří: Computational modelling of thermal consumption of buildings with controlled interior temperature. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 130-143
• Trejo, Kristal K.; Clempner, Julio B.; Poznyak, Alexander S.: An optimal strong equilibrium solution for cooperative multi-leader-follower Stackelberg Markov chains games. (English). Kybernetika, vol. 52 (2016), issue 2, pp. 258-279
• Maltseva, Anastasia; Reitmann, Volker: Bifurcations of invariant measures in discrete-time parameter dependent cocycles. (English). Mathematica Bohemica, vol. 140 (2015), issue 2, pp. 205-213
• Kumazaki, Kota: Exponential decay of a solution for some parabolic equation involving a time nonlocal term. (English). Mathematica Bohemica, vol. 140 (2015), issue 2, pp. 129-137
• Kotorová, Dana: Comparison of the 3D Numerical Schemes for Solving Curvature Driven Level Set Equation Based on Discrete Duality Finite Volumes. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 53 (2014), issue 2, pp. 71-83
• Nittka, Robin: Inhomogeneous parabolic Neumann problems. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 3, pp. 703-742
• Bradji, Abdallah; Fuhrmann, Jürgen: A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 113-124
• Li, Yu; Lin, Qun; Xie, Hehu: A parallel method for population balance equations based on the method of characteristics. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 140-149
• Chabiniok, Radomír; Máca, Radek; Beneš, Michal; Tintěra, Jaroslav: Segmentation of MRI data by means of nonlinear diffusion. (English). Kybernetika, vol. 49 (2013), issue 2, pp. 301-318
• Matas, Aleš; Merker, Jochen: Existence of weak solutions to doubly degenerate diffusion equations. (English). Applications of Mathematics, vol. 57 (2012), issue 1, pp. 43-69
• Azari, Hossein; Liu, Tang; Zhang, Shuhua: Identification of parameters in parabolic inverse problems. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 1-13
• Wang, JinRong; Zhou, Yong; Wei, Wei: Novel Method for Generalized Stability Analysis of Nonlinear Impulsive Evolution Equations. (English). Kybernetika, vol. 48 (2012), issue 6, pp. 1211-1228
• Šebestová, Ivana; Dolejší, V.: A posteriori error estimates of the discontinuous Galerkin method for the heat conduction equation. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 53 (2012), issue 1, pp. 77-94
• Hou, Pulun; Chen, Caisheng: $L^\infty$ estimates of solution for $m$-Laplacian parabolic equation with a nonlocal term. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 2, pp. 389-400
• Havle, Oto; Dolejší, Vít; Feistauer, Miloslav: Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions. (English). Applications of Mathematics, vol. 55 (2010), issue 5, pp. 353-372
• 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
• 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
• 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
• Ogawa, Toshiyuki; Okuda, Takashi: Bifurcations for Turing instability without SO(2) symmetry. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 869-877
• Kuliev, Komil; Persson, Lars-Erik: An extension of Rothe's method to non-cylindrical domains. (English). Applications of Mathematics, vol. 52 (2007), issue 5, pp. 365-389
• 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
• Flodén, Liselott; Olsson, Marianne: Homogenization of some parabolic operators with several time scales. (English). Applications of Mathematics, vol. 52 (2007), issue 5, pp. 431-446
• Handlovičová, Angela: Perona-Malik equation: properties of explicit finite volume scheme. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 523-532
• 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
• Prüss, Jan; Saal, Jürgen; Simonett, Gieri: Analytic solutions for the classical two-phase Stefan problem. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 415-425
• Arrieta, Jose M.; Moya, Nancy; Rodriguez-Bernal, Anibal: Dissipative dynamics of reaction diffusion equations in $\mathbb R^n$. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 405-414
• Holmbom, Anders; Svanstedt, Nils; Wellander, Niklas: Multiscale convergence and reiterated homogenization of parabolic problems. (English). Applications of Mathematics, vol. 50 (2005), issue 2, pp. 131-151
• Kikuchi, N.; Kačur, J.: Convergence of Rothe's method in Hölder spaces. (English). Applications of Mathematics, vol. 48 (2003), issue 5, pp. 353-365
• 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
• Prüss, Jan: Maximal regularity for abstract parabolic problems with inhomogeneous boundary data in $L_p$-spaces. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 311-327
• Quittner, Pavol: A priori bounds for solutions of parabolic problems and applications. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 329-341
• 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
• Prüss, Jan: Maximal regularity for abstract parabolic problems with inhomogeneous boundary data in $L_ p$-spaces. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 169-183
• Quittner, Pavol: A priori bounds for solutions of parabolic problems and applications. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 185-196
• Ďurikovič, Vladimír; Ďurikovičová, Monika: Topological properties of nonlinear evolution equations. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 159-168
• 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
• Kahane, Charles S.: A gradient estimate for solutions of the heat equation. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 711-725
• Holmbom, Anders: Homogenization of parabolic equations an alternative approach and some corrector-type results. (English). Applications of Mathematics, vol. 42 (1997), issue 5, pp. 321-343
• Di Benedetto, Emmanuele: Parabolic equations with multiple singularities. (English). In: Agarwal, Ravi P., Neuman, F. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 1] Survey papers. Masaryk University, Brno, 1998. pp. 25-48
• Pluschke, Volker: Rothe's method for degenerate quasilinear parabolic equations. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 247-254
• Koliha, J. J.; Straškraba, Ivan: Stability in nonlinear evolution problems by means of fixed point theorems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 37-59
• Barnovská, Mária; Govorov, V. M.: Интегральная оценка обобщенного из класса $L\sb 2$ решения первой краевой задачи для уравнения теплопроводности. (Russian) [Integral estimation of a generalized $L\sb 2$-solution of the first boundary value problem for a heat equation]. Mathematica Slovaca, vol. 46 (1996), issue 2, pp. 231-238
• 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
• Cui, Bao Tong: Oscillation properties for parabolic equations of neutral type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 581-588
• Heinrichs, Wilhelm: Einschliessungsaussagen bei Systemen semilinearer parabolischer Differentialgleichungen. (German) [Inclusion statements for systems of semilinear parabolic differential equations]. Applications of Mathematics, vol. 36 (1991), issue 2, pp. 96-122
• Brzezina, Miroslav: Wiener's test of thinness in potential theory. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 2, pp. 227-232
• Filo, Ján: A nonlinear diffusion equation with nonlinear boundary conditions: Method of lines. (English). Mathematica Slovaca, vol. 38 (1988), issue 3, pp. 273-296
• Holnicki, Piotr; Sokołowski, Jan; Żochowski, Antoni: Differential stability of solutions to air quality control problems in urban area. (English). Aplikace matematiky, vol. 32 (1987), issue 3, pp. 240-253
• Koeppe, G.; Roos, Hans-Georg; Tobiska, Lutz: An enclosure generating modification of the method of discretization in time. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 3, pp. 441-447
• Filo, Ján: On solutions of a perturbed fast diffusion equation. (English). Aplikace matematiky, vol. 32 (1987), issue 5, pp. 364-380
• Fila, Marek; Filo, Ján: Stabilization of solutions of certain one-dimensional degenerate diffusion equations. (English). Mathematica Slovaca, vol. 37 (1987), issue 2, pp. 217-229
• Neumann, Jan: Numerical identification of a coefficient in a parabolic quasilinear equation. (English). Aplikace matematiky, vol. 30 (1985), issue 2, pp. 110-125
• Doktor, Alexandr: On the solution of the heat equation with nonlinear unbounded memory. (English). Aplikace matematiky, vol. 30 (1985), issue 6, pp. 461-474
• Lauerová, Dana: The existence of a periodic solution of a parabolic equation with the Bessel operator. (English). Aplikace matematiky, vol. 29 (1984), issue 1, pp. 40-44
• Dont, Miroslav: Flows of heat and time moving boundary. (English). Časopis pro pěstování matematiky, vol. 108 (1983), issue 2, pp. 146-182
• Netuka, Ivan: Monotone extensions of operators and the first boundary value problem. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 268-271
• Brilla, J.: New functional spaces and linear nonstationary problems of mathematical physics. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 64-71
• Rektorys, Karel; Ludvíková, Marie: A note on nonhomogeneous initial and boundary conditions in parabolic problems solved by the Rothe method. (English). Aplikace matematiky, vol. 25 (1980), issue 1, pp. 56-72
• Lauerová, Dana: A note to the theory of periodic solutions of a parabolic equation. (English). Aplikace matematiky, vol. 25 (1980), issue 6, pp. 457-460
• Netuka, Ivan: A mixed boundary value problem for heat potentials (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 1, pp. 207-211
• Kačur, J.: Nonlinear parabolic boundary value problems with the time derivative in the boundary conditions. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [170]-178
• Dümmel, S.: On some inverse problems for partial differential equations. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [93]-98
• Nedoma, J.: The solution of parabolic models by finite element space and $A$-stable time discrezation. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [300]-308
• Práger, M.; Taufer, J.; Vitásek, E.: Overimplicit methods for the solution of evolution problems. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 125-133
• Hlaváček, Ivan: On a conjugate semi-variational method for parabolic equations. (English). Aplikace matematiky, vol. 18 (1973), issue 6, pp. 434-444
• Maslennikova, V. N.: The asymptotic behavior at the large time of solutions of some mathematical physics problems. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 189-197