一类具有指数非线性项的抛物方程解的渐近行为与衰减估计
偏微分方程分析
2017-12-01 v1
摘要
我们考虑一类具有指数非线性项的抛物方程,该非线性项在增长性和初值正则性方面是临界的。在证明了弱解与温和解概念的等价性之后,我们推导了全局小解的衰减估计及其渐近行为。
引用
@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}
}