ELLIPTIC APPROXIMATION OF FORWARD-BACKWARD PARABOLIC EQUATIONS

被引：5
|
作者：
Paronetto, Fabio [1 ]
机构：
[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, Padua, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 02期
关键词：
Abstract equations; elliptic equations; elliptic-parabolic equations; forward-backward parabolic equations; monotone operators; approximation by singular perturbations;
D O I：
10.3934/cpaa.2020047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we give existence and uniqueness result for some elliptic problems depending on a small parameter and show that their solutions converge, when this parameter goes to zero, to the solution of a mixed type equation, elliptic-parabolic, parabolic both forward and backward. The aim is to give an approximation result via elliptic equations of a changing type equation.
引用
收藏
页码：1017 / 1036
页数：20
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