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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

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


Author: Assia Barabanova
Journal: Proc. Amer. Math. Soc. 122 (1994), 827-831
MSC: Primary 35K57; Secondary 35K50, 35K55
MathSciNet review: 1207533
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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 \to \infty $.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1207533-6
PII: S 0002-9939(1994)1207533-6
Article copyright: © Copyright 1994 American Mathematical Society