杨雨;杨晗;

• 1:西南交通大学数学学院

摘要(Abstract)：

考虑带有对数非线性源的p-Kirchhoff方程的初边值问题,此问题可用来描述热传播的过程和种群密度的演化.首先利用Galerkin方法,对数Sobolev不等式以及Gronwall不等式,再结合Lions引理,得到其局部解的存在性.同时引入修正泛函研究势井深度,结合势井理论,建立先验估计,得到解的整体存在性和衰减估计,推广和改进了已有结果.

关键词(KeyWords)： p-Kirchhoff方程;对数非线性源;势井;整体解;能量衰减

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11701477,11971394)

作者(Authors): 杨雨;杨晗;

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