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Article Dans Une Revue Electronic Journal of Qualitative Theory of Differential Equations Année : 2020

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

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Résumé

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 -> infinity.

Dates et versions

hal-03621259 , version 1 (28-03-2022)

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Alexander Gladkov, Mohammed Guedda. Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions. Electronic Journal of Qualitative Theory of Differential Equations, 2020, 63, pp.1-11. ⟨10.14232/ejqtde.2020.1.63⟩. ⟨hal-03621259⟩
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