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35K60 Nonlinear boundary value problems for linear parabolic PDE; boundary value problems for nonlinear parabolic PDE (65 articles)

• Fujie, Kentarou; Yokota, Tomomi: Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 639-647
• Krejčí, Pavel; Panizzi, Lucia: Regularity and uniqueness in quasilinear parabolic systems. (English). Applications of Mathematics, vol. 56 (2011), issue 4, pp. 341-370
• Besenyei, Ádám: On some nonlocal systems containing a parabolic PDE and a first order ODE. (English). Mathematica Bohemica, vol. 135 (2010), issue 2, pp. 133-141
• Topolski, Krzysztof A.: On the vanishing viscosity method for first order differential-functional IBVP. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 927-947
• Drblíková, Olga: Uniform a priori estimates for discrete solution of nonlinear tensor diffusion equation in image processing. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 777-788
• Gilardi, Gianni; Marson, Andrea: On a conserved Penrose-Fife type system. (English). Applications of Mathematics, vol. 50 (2005), issue 5, pp. 465-499
• Klein, Olaf: Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity. (English). Applications of Mathematics, vol. 49 (2004), issue 4, pp. 309-341
• Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří; Kliková, Alice: Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems. (English). Applications of Mathematics, vol. 47 (2002), issue 4, pp. 301-340
• Feistauer, Miloslav; Najzar, Karel; Švadlenka, Karel: On a parabolic problem with nonlinear Newton boundary conditions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 429-455
• Quittner, Pavol: A priori bounds for solutions of parabolic problems and applications. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 329-341
• Arkhipova, A. A.: Solvability problem for strong-nonlinear nondiagonal parabolic system. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 131-138
• 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
• Eck, C.; Jarušek, J.: On the thermal aspect of dynamic contact problems. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 337-352
• 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
• Quittner, Pavol: A priori estimates of solutions of superlinear problems. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 483-492
• Arkhipova, Arina A.: Solvability problem for strong-nonlinear nondiagonal parabolic system. (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. 7-14
• 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
• 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
• Apushkinskaya, D. E.; Nazarov, A. I.: A survey of results on nonlinear Venttsel problems. (English). Applications of Mathematics, vol. 45 (2000), issue 1, pp. 69-80
• Halidias, Nikolaos; Papageorgiou, Nikolaos S.: Existence of solutions for nonlinear parabolic problems. (English). Archivum Mathematicum, vol. 35 (1999), issue 3, pp. 255-274
• 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
• Angot, Philippe; Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří: Analysis of a combined barycentric finite volume—nonconforming finite element method for nonlinear convection-diffusion problems. (English). Applications of Mathematics, vol. 43 (1998), issue 4, pp. 263-310
• Quittner, Pavol: Transition from decay to blow-up in a parabolic system. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 199-206
• Lukáčová-Medviďová, Mária: Combined finite element -- finite volume method (convergence analysis). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 4, pp. 717-741
• Lukáčová-Medviďová, Mária: Numerical solution of compressible flow. (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. 201-210
• 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
• Fiedler, Bernold: Global attractors of one-dimensional parabolic equations: sixteen examples. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 67-92
• 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
• Quittner, Pavol: On global existence and stationary solutions for two classes of semilinear parabolic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 105-124
• Lin, Xiao-Biao: Spatially nonhomogeneous pattern generated by homoclinic/equilibrium bifurcations. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 147-152
• 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
• 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
• Fila, Marek; Filo, Ján: Global behaviour of solutions to some nonlinear diffusion equations. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 2, pp. 226-238
• Fila, M.; Filo, J.: Blow up for a nonlinear degenerate parabolic equation. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 163-166
• Fila, Marek: Boundedness of global solutions for the heat equation with nonlinear boundary conditions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 479-484
• Uraltseva, N. N.: Oblique boundary value problems for nonlinear parabolic equations. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 71-73
• Kačur, Jozef: On $L_\infty$-convergence of Rothe's method. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 505-510
• Kačur, J.: Solution of nonlinear degenerate elliptic-parabolic systems in Orlicz-Sobolev spaces. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 175-179
• 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
• Filo, Ján: A nonlinear diffusion equation with nonlinear boundary conditions: Method of lines. (English). Mathematica Slovaca, vol. 38 (1988), issue 3, pp. 273-296
• Feireisl, Eduard: On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length. (English). Aplikace matematiky, vol. 33 (1988), issue 2, pp. 94-102
• Filo, Ján: On solutions of a perturbed fast diffusion equation. (English). Aplikace matematiky, vol. 32 (1987), issue 5, pp. 364-380
• Kučera, Milan; Neustupa, Jiří: Destabilizing effect of unilateral conditions in reaction-diffusion systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 171-187
• Collatz, Lothar: Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben. (German) [Some applications of the multidimensional approximation theory for the inclusion of solutions of boundary value problems]. In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [367]-372
• Fiedler, Bernold; Brunovský, Pavol: Connections in scalar reaction diffusion equations with Neumann boundary conditions. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [123]-128
• Thomée, Vidar: Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [339]-344
• Čermák, Libor; Zlámal, Miloš: Finite element solution of a nonlinear diffusion problem with a moving boundary. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [291]-294
• Rektorys, Karel: Numerical and theoretical treating of evolution problems by the method of discretization in time. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. 71-84
• Doktor, Alexandr: On the solution of the heat equation with nonlinear unbounded memory. (English). Aplikace matematiky, vol. 30 (1985), issue 6, pp. 461-474
• Krejčí, Pavel: Periodic solutions of partial differential equations with hysteresis. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [221]-226
• Amann, Herbert: Semilinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 3-21
• Stará, Jana; John, Oldřich: Some regularity results for quasilinear parabolic systems. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [247]-250
• Struwe, Michael: A counterexample in regularity theory for parabolic systems. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 2, pp. 183-188
• Slodička, Marián: Parabolic partial differential equations with memory. (English). Mathematica Slovaca, vol. 34 (1984), issue 1, pp. 3-23
• Skrypnik, I. V.: Topological methods of investigation of operator equations and nonlinear boundary value problems. (English). In: John, Oldřich and Kufner, Alois (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Písek, 1982. Vol. 2. BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 191-233
• Zlámal, Miloš: Galerkin-finite element solution of nonlinear evolution problems. (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. 378-386
• Kačur, Jozef: On a degenerate parabolic 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. 169-173
• Kačur, Jozef: Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions. (English). Mathematica Slovaca, vol. 30 (1980), issue 3, pp. 213-237
• Šťastnová, Věnceslava; Fučík, Svatopluk: Weak periodic solutions of the boundary value problem for nonlinear heat equation. (English). Aplikace matematiky, vol. 24 (1979), issue 4, pp. 284-303
• Nedoma, Josef: The finite element solution of parabolic equations. (English). Aplikace matematiky, vol. 23 (1978), issue 6, pp. 408-438
• Hess, P.: Multiple solutions of some asymptotically linear elliptic boundary value problems. (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. [145]-151
• 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
• 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
• Kačur, Jozef; Wawruch, Alojz: On an approximate solution for quasilinear parabolic equations. (English). Czechoslovak Mathematical Journal, vol. 27 (1977), issue 2, pp. 220-241
• Kačur, Jozef: A generalized maximum principle and estimates of max vrai $u$ for nonlinear parabolic boundary value problems. (English). Czechoslovak Mathematical Journal, vol. 26 (1976), issue 4, pp. 507-526