具 p-Laplacian 扩散的抛物方程有界解的若干基本性质
偏微分方程分析
2017-06-06 v1
摘要
我们针对具 p-Laplacian 扩散的一般二阶守恒抛物方程的初值问题，在初始数据为（任意）有界且可积的条件下，给出了其有界弱解若干基本性质的详细（且完全严格的）推导。
关键词
引用
@article{arxiv.1706.01438,
title = {Some basic properties of bounded solutions of parabolic equations with p-Laplacian diffusion},
author = {Jocemar Q. Chagas and Patrícia L. Guidolin and Janaína P. Zingano},
journal= {arXiv preprint arXiv:1706.01438},
year = {2017}
}
备注
This work provides a full derivation of various fundamental basic results much needed for more advanced works on bounded weak solutions to equations in the class considered here, some of which appear in the literature in a scattered form (if any)