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.
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页码:109 / 143
页数:35
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