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Existence and nonexistence results for reaction-diffusion equations in product of cones

✍ Scribed by Abdallah El Hamidi; Gennady G. Laptev

Book ID
111487622
Publisher
SP Versita
Year
2003
Tongue
English
Weight
254 KB
Volume
1
Category
Article
ISSN
1895-1074

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✦ Synopsis

Abstract

Problems of existence and nonexistence of global nontrivial solutions to quasilinear evolution differential inequalities in a product of cones are investigated. The proofs of the nonexistence results are based on the test-function method developed, for the case of the whole space, by Mitidieri, Pohozaev, Tesei and VΓ©ron. The existence result is established using the method of supersolutions.

πŸ“œ SIMILAR VOLUMES

Global Existence and Stability of Soluti
Global Existence and Stability of Solutions for Reaction Diffusion Functional Differential Equations
✍ Mengxing He πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 181 KB

In this article, a class of reaction diffusion functional differential equations is investigated. The global existence and uniqueness of solutions and the stability of the trivial solution are obtained. Some applications are also discussed. The method proposed in this article is a combination of the