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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:
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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