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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 $.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9939-1994-1207533-6
Article copyright: © Copyright 1994 American Mathematical Society