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Article

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
MSC: 35B10, 35K05, 35K20, 35K55, 35K60, 47F05 | MR 1243074 | Zbl 0781.35033
Keywords:
periodic-Dirichlet problem; semilinear heat equation; superlinear growth
Summary:
The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.
References:
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[3] Nkashama M.N., Willem M.: Periodic solutions of the boundary value problem for the nonlinear heat equation. Bull. Austral. Math. Soc. 29 (1984), 99-110. MR 0753565 | Zbl 0555.35062
[4] Sanchez L.: A note on periodic solutions of heat equation with a superlinear term. Nonlinear Functional Anal. and its Appl., S.P. Singh (ed.), D. Reidel Publ. Co., 1986. MR 0852596 | Zbl 0611.35046
[5] Šťastnová, Fučík S.: Note to periodic solvability of the boundary value problem for nonlinear heat equation. Comment. Math. Univ. Carolinae 18 (1977), 735-740. MR 0499739
[6] Vejvoda O. and al.: Partial Differential Equations, Time Periodic Solutions. Sijthoff Noordhoff, 1981.
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