Existence and non-existence of global solutions of diffusion systems with nonlinear boundary conditions

Yuanwei Qi; Mingxin Wang; Zejun Wang

doi:10.1017/S030821050000370X

Abstract

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This paper deals with existence and non-existence of global solutions of certain fast–slow diffusion systems with nonlinear boundary conditions. Necessary and sufficient conditions for global existence of positive solutions are obtained in terms of various parameters which appear explicitly in the definition of the systems.

Crossref Citations

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Existence and non-existence of global solutions of diffusion systems with nonlinear boundary conditions

Abstract

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