Article ID Journal Published Year Pages File Type
4609230 Journal of Differential Equations 2017 36 Pages PDF
Abstract

We consider a nonlinear parabolic equation with an exponential nonlinearity which is critical with respect to the growth of the nonlinearity and the regularity of the initial data. After showing the equivalence of the notions of weak and mild solutions, we derive decay estimates and the asymptotic behavior for small global-in-time solutions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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