On the global existence of solutions of a reaction-diffusion equation with exponential nonlinearity-Reference-Cited by-同舟云学术

On the global existence of solutions of a reaction-diffusion equation with exponential nonlinearity

Published:1994 Issue:3 Volume:122 Page:827-831
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Barabanova Assia

Abstract

We generalize the result of Haraux and Youkana concerning the global existence of nonnegative solutions of a reaction-diffusion equation with exponential nonlinearity. We also show the asymptotic behavior of the global solutions as t → ∞ t \to \infty .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-122-03/S0002-9939-1994-1207533-6/S0002-9939-1994-1207533-6.pdf

Reference7 articles.

1. 𝐿^{𝑝} bounds of solutions of reaction-diffusion equations;Alikakos, N. D.;Comm. Partial Differential Equations,1979

2. Math\'{e}matiques \& Applications (Paris) [Mathematics and Applications];Cazenave, Thierry,1990

3. Estimations 𝐶¹ pour des problèmes paraboliques semi-linéaires;Haraux, A.;Ann. Fac. Sci. Toulouse Math. (5),1983

4. On a result of K. Masuda concerning reaction-diffusion equations;Haraux, Alain;Tohoku Math. J. (2),1988

5. Lecture Notes in Mathematics;Henry, Daniel,1981

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