Geodesic
A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 425-431.

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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.
Classification : 35B10, 35K05, 35K20, 35K55, 35K60, 47F05
Keywords: periodic-Dirichlet problem; semilinear heat equation; superlinear growth 
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     author = {Kim, Wan Se},
     title = {A note on the existence of solution for semilinear heat equations  with polynomial growth nonlinearity},
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     zbl = {0781.35033},
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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) no. 3, pp. 425-431. http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a4/