A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity
Kim, Wan Se
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993), p. 425-431 / Harvested from Czech Digital Mathematics Library
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The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.

Publié le : 1993-01-01
Classification:  35B10,  35K05,  35K20,  35K55,  35K60,  47F05 
@article{118599,
     author = {Wan Se Kim},
     title = {A note on the existence of solution for semilinear heat equations  with polynomial growth nonlinearity},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {34},
     year = {1993},
     pages = {425-431},
     zbl = {0781.35033},
     mrnumber = {1243074},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118599}
}

Kim, Wan Se. A note on the existence of solution for semilinear heat equations  with polynomial growth nonlinearity. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 425-431. http://gdmltest.u-ga.fr/item/118599/

Brezis H.; Nirenberg L. Characterization of the range of some nonlinear operators and application to boundary value problem, Ann. Scuola Norm Pisa (4) 5 (1978), 225-326. (1978) | MR 0513090

Fučík S. Solvability of Nonlinear Equations and Boundary Value Problems, Pediel, Dordrecht, 1980. | MR 0620638

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. (1984) | MR 0753565 | Zbl 0555.35062

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

Šťastnová, Fučík S. Note to periodic solvability of the boundary value problem for nonlinear heat equation, Comment. Math. Univ. Carolinae 18 (1977), 735-740. (1977) | MR 0499739

Vejvoda O. And Al. Partial Differential Equations, Time Periodic Solutions, Sijthoff Noordhoff, 1981.