Nonlinear Parabolic Problems in Anisotropic Sobolev Spaces

被引：0
|
作者：
El Ansari, M. [1 ]
Akdim, Y. [2 ]
Rhali, S. L. [1 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Lab Engn Sci, Multidisciplinary Fac Taza, POB 1223, Taza, Morocco
[2] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, LAMA Lab, POB 1796, Atlas Fez, Morocco
来源：
AZERBAIJAN JOURNAL OF MATHEMATICS | 2024年 / 14卷 / 02期
关键词：
anisotropic Sobolev spaces; maximal monotone graph; Ste- fan type problems; RENORMALIZED SOLUTIONS; EXISTENCE; UNIQUENESS; EQUATIONS;
D O I：
10.59849/2218-6816.2024.2.109
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, our goal is to establish results on existence of renormalized solutions for a class of Stefan problems of the form 3 ( u ) t - div(a(x, ( a ( x, Du ) + F ( u )) is not an element of f , posed in an open bounded ohm, where data belongs to L1 1 - data, 3 is a maximal monotone graph and div(a(x, ( a ( x, Du )) is a Leary-Lions operator with anisotropic growth conditions.
引用
收藏
页码：109 / 143
页数：35
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