带记忆的非线性抛物方程在非局部边界条件下的初边值问题解的局部存在与比较原理
偏微分方程分析
2023-06-21 v2
摘要
我们考虑在非线性非局部边界条件下带记忆的非线性抛物方程的初值问题。本文研究经典解。我们建立了局部极大解的存在性。证明了在某些条件下上解不小于下解。我们找到了解的正性条件。作为解的正性与比较原理的推论，我们证明了唯一性定理。
引用
@article{arxiv.2305.18767,
title = {Local existence of solutions and comparison principle for initial boundary value problem with nonlocal boundary condition for a nonlinear parabolic equation with memory},
author = {Alexander Gladkov},
journal= {arXiv preprint arXiv:2305.18767},
year = {2023}
}
备注
arXiv admin note: text overlap with arXiv:1602.05018