We study existence of distributional solutions for two kinds of nonlinear evolution problems. In the first one the nonlinear reaction term depends on the solution with a slightly superlinear growth. In the second one we consider a first order term depending also on the gradient of the solution in a quadratic way.
Semilinear parabolic equations with superlinear reaction terms, and application to some convection-diffusion problems / Dall'Aglio, Andrea; Giachetti, Daniela; SEGURA DE LEON, S.. - In: UKRAINIAN MATHEMATICAL BULLETIN. - ISSN 1812-3309. - STAMPA. - vol 1, n.4:(2004), pp. 518-531.
Semilinear parabolic equations with superlinear reaction terms, and application to some convection-diffusion problems
DALL'AGLIO, Andrea;GIACHETTI, Daniela;
2004
Abstract
We study existence of distributional solutions for two kinds of nonlinear evolution problems. In the first one the nonlinear reaction term depends on the solution with a slightly superlinear growth. In the second one we consider a first order term depending also on the gradient of the solution in a quadratic way.File allegati a questo prodotto
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