Asymptotic Behavior and Decay Estimates of the Solutions for a Nonlinear Parabolic Equation with Exponential Nonlinearity
Analysis of PDEs
2017-12-01 v1
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.
Keywords
Cite
@article{arxiv.1606.07637,
title = {Asymptotic Behavior and Decay Estimates of the Solutions for a Nonlinear Parabolic Equation with Exponential Nonlinearity},
author = {Giulia Furioli and Tatsuki Kawakami and Bernhard Ruf and Elide Terraneo},
journal= {arXiv preprint arXiv:1606.07637},
year = {2017}
}