Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions

We consider semilinear parabolic equations with nonlinear boundary conditions. We give conditions which guarantee global existence of solutions as well as blow-up in finite time of all solutions with nontrivial initial data. The results depend on the behavior of variable coefficients as $t \to \inft...

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Principais autores:	Alexander Gladkov, Mohammed Guedda
Formato:	Artigo
Idioma:	Inglês
Publicado em:	University of Szeged 2020-11-01
coleção:	Electronic Journal of Qualitative Theory of Differential Equations
Assuntos:	semilinear parabolic equation nonlinear boundary condition finite time blow-up
Acesso em linha:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8501
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