非柱状域上 Laplace 方程的动态边界条件
偏微分方程分析
2017-12-14 v2
摘要
在本文中，我们研究了正则非柱状域上具有动态边界条件的 Laplace 方程的存在性、唯一性和渐近行为。我们将该问题写为非自治 Dirichlet-to-Neumann 算子，并在更一般的框架中使用形式方法来实现我们的目标。在同一背景下，还考虑了 Lipschitz 域上具有动态边界条件的一类非自治椭圆问题。
引用
@article{arxiv.1709.10123,
title = {Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation},
author = {Pedro T. P. Lopes and Marcone C. Pereira},
journal= {arXiv preprint arXiv:1709.10123},
year = {2017}
}
备注
This is a new version of a previous paper submitted here in Arxiv. It has substantial changes from the previous one. A whole section was rewritten and some small mistakes were corrected