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35K05 Heat equation (59 articles)

• Havelka, Jan; Sýkora, Jan: Application of Calderón's inverse problem in civil engineering. (English). Applications of Mathematics, vol. 63 (2018), issue 6, pp. 687-712
• 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
• Daikh, Y.; Chikouche, W.: Spectral element discretization of the heat equation with variable diffusion coefficient. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 2, pp. 185-200
• Watson, Neil A.: Inequalities involving heat potentials and Green functions. (English). Mathematica Bohemica, vol. 140 (2015), issue 3, pp. 313-318
• 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
• Nguyen Huy, Tuan: On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient. (English). Applications of Mathematics, vol. 59 (2014), issue 4, pp. 453-472
• Vala, Jiří: On the computational identification of temperature-variable characteristics of heat transfer. (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. 215-224
• 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
• Tuan, Nguyen Huy; Trong, Dang Duc: A simple regularization method for the ill-posed evolution equation. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 1, pp. 85-95
• Chen, Yujuan: Global and non-global existence of solutions to a nonlocal and degenerate quasilinear parabolic system. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 3, pp. 675-688
• Vala, Jiří: Inverse problems of heat transfer. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 197-204
• 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
• Stehlíková, Beáta; Ševčovič, Daniel: On the singular limit of solutions to the Cox-Ingersoll-Ross interest rate model with stochastic volatility. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 670-680
• Mlýnek, Jaroslav: The box method and some error estimation. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 150-156
• Dilna, N.; Rontó, A.: General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations. (English). Mathematica Bohemica, vol. 133 (2008), issue 4, pp. 435-445
• Giga, Y.; Umeda, N.: On blow-up at space infinity for semilinear heat equations. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 63-67
• Rumin, Michael: An introduction to spectral and differential geometry in Carnot-Carathéodory spaces. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 24th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2005. pp. [139]-196
• Vala, Jiří: On a system of equations of evolution with a non-symmetrical parabolic part occuring in the analysis of moisture and heat transfer in porous media. (English). Applications of Mathematics, vol. 47 (2002), issue 2, pp. 187-214
• Doležel, Ivo; Šolín, Pavel; Ulrych, Bohuš: Fieldless methods for the simulation of stationary and nonstationary induction heating. (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. 143-157
• 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
• Nazarov, Alexander I.: $L_p$-estimates for solutions of Dirichlet and Neumann problems to heat equation in the wedge with edge of arbitrary codimension. (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. 323-325
• Barbieri, Enrique; Drakunov, Sergey; Figueroa, J. Fernando: Further results on sliding manifold design and observation for a heat equation. (English). Kybernetika, vol. 36 (2000), issue 1, pp. [133]-147
• Dont, Miroslav: A heat approximation. (English). Applications of Mathematics, vol. 45 (2000), issue 1, pp. 41-68
• Dont, Miroslav: A note on the parabolic variation. (English). Mathematica Bohemica, vol. 125 (2000), issue 3, pp. 257-268
• Kahane, Charles S.: A gradient estimate for solutions of the heat equation. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 711-725
• Filo, Ján: A note on asymptotic expansion for a periodic boundary condition. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 83-92
• Kärkkäinen, Tommi: Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method. (English). Applications of Mathematics, vol. 42 (1997), issue 4, pp. 259-277
• Dont, Miroslav: Fourier problem with bounded Baire data. (English). Mathematica Bohemica, vol. 122 (1997), issue 4, pp. 405-441
• Dzurenda, Peter: The use of linear approximation scheme for solving the Stefan problem. (English). Applications of Mathematics, vol. 42 (1997), issue 1, pp. 35-56
• Ranošová, Jarmila: Characterization of sets of determination for parabolic functions on a slab by coparabolic (minimal) thinness. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 4, pp. 707-723
• 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
• Jankowski, Tadeusz: On the existence of solutions and one-step method for functional-differential equations with parameters. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 193-208
• Ranošová, Jarmila: Sets of determination for parabolic functions on a half-space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 497-513
• 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
• 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
• 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
• 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
• Rafajłowicz, Ewaryst: Optimization of measurements for state estimation in parabolic distributed systems. (English). Kybernetika, vol. 20 (1984), issue 5, pp. 413-422
• Chakraborty, Ranjit Kumar: Note on steady flow of heat in a semi-infinite strip. (English). Aplikace matematiky, vol. 27 (1982), issue 3, pp. 167-175
• Wenk, Hans-Ullrich: On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface. (English). Aplikace matematiky, vol. 27 (1982), issue 6, pp. 393-416
• Dont, Miroslav: Third boundary value problem for the heat equation. II. (English). Časopis pro pěstování matematiky, vol. 107 (1982), issue 1, pp. 7-22
• Dont, Miroslav: Third boundary value problem for the heat equation. I. (English). Časopis pro pěstování matematiky, vol. 106 (1981), issue 4, pp. 376-394
• 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
• 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
• Štědrý, M.: Concerning Cesari's theorems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 3, pp. 501-512
• 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
• 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
• Dont, Miroslav: A note on a heat potential and the parabolic variation. (English). Časopis pro pěstování matematiky, vol. 101 (1976), issue 1, pp. 28-44
• Dont, Miroslav: On a boundary value problem for the heat equation. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 1, pp. 110-133
• Veselý, Jiří: On a generalized heat potential. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 3, pp. 404-423
• Dont, Miroslav: On a heat potential. (English). Czechoslovak Mathematical Journal, vol. 25 (1975), issue 1, pp. 84-109
• Netuka, Ivan; Zajíček, Luděk: Functions continuous in the fine topology for the heat equation. (English). Časopis pro pěstování matematiky, vol. 99 (1974), issue 3, pp. 300-306
• Hlaváček, I.: On a conjugate semi-variational method for parabolic equations. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 43-45
• Veselý, Jiří: Some properties of a generalized heat potential (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 2, pp. 357-360
• Netuka, Ivan: Thinness and the heat equation. (English). Časopis pro pěstování matematiky, vol. 99 (1974), issue 3, pp. 293-299
• Dont, Miroslav: On a heat potential (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 14 (1973), issue 3, pp. 559-564
• Hedstrom, Gerald W.: The accuracy of Dafermos' method for nonlinear hyperbolic equations. (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. 175-178
• Šimonek, Jiří: Stacionární teplotní pole v nekonečném válci při součiniteli přestupu tepla periodicky proměnném podél obvodu. (Czech) [Stationary temperature field in an unbounded cylinder with the heat transfer coefficient periodically varying along the perimeter]. Aplikace matematiky, vol. 6 (1961), issue 4, pp. 300-310
• Klátil, Jiří: Ustálené teplotní pole v nekonečné rovinné desce z více vrstev s obecným rozložením teploty na okrajových stěnách. (Czech) [Steady temperature field in an infinite multilayer slab with a general temperature distribution on the side faces]. Aplikace matematiky, vol. 2 (1957), issue 4, pp. 258-278