Existence of weak solutions to a general class of diffusive shallow medium type equations

被引：0
|
作者：
Dietrich, Nicolas [1 ]
机构：
[1] Salzburg Univ, Fachbereich Artificial Intelligence & Human Inter, Jakob Haringer Str 2, A-5020 Salzburg, Austria
来源：
FORUM MATHEMATICUM | 2022年 / 34卷 / 04期
关键词：
Shallow medium equation; doubly nonlinear equations; existence; coefficients; WAVE APPROXIMATION; BEHAVIOR;
D O I：
10.1515/forum-2021-0320
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we prove existence of weak solutions of a general class of diffusive shallow medium type equations. We truncate the coefficients from above and below. Then we prove existence to the problems associated with the truncated vector fields. At last, we show that the approximating solutions converge to the solution of the initial value problem.
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页码：1109 / 1129
页数：21
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