Nonlinear Parabolic Problems in Anisotropic Sobolev Spaces
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作者:
El Ansari, M.
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机构:
Sidi Mohamed Ben Abdellah Univ, Lab Engn Sci, Multidisciplinary Fac Taza, POB 1223, Taza, MoroccoSidi Mohamed Ben Abdellah Univ, Lab Engn Sci, Multidisciplinary Fac Taza, POB 1223, Taza, Morocco
El Ansari, M.
[1
]
Akdim, Y.
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Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, LAMA Lab, POB 1796, Atlas Fez, MoroccoSidi Mohamed Ben Abdellah Univ, Lab Engn Sci, Multidisciplinary Fac Taza, POB 1223, Taza, Morocco
Akdim, Y.
[2
]
Rhali, S. L.
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机构:
Sidi Mohamed Ben Abdellah Univ, Lab Engn Sci, Multidisciplinary Fac Taza, POB 1223, Taza, MoroccoSidi Mohamed Ben Abdellah Univ, Lab Engn Sci, Multidisciplinary Fac Taza, POB 1223, Taza, Morocco
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
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.
机构:
Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, BP 1796 Atlas, Fes 30000, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, BP 1796 Atlas, Fes 30000, Morocco
Ahakkoud, Y.
Bennouna, J.
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机构:
Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, BP 1796 Atlas, Fes 30000, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, BP 1796 Atlas, Fes 30000, Morocco
Bennouna, J.
Elmassoudi, M.
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机构:
Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, BP 1796 Atlas, Fes 30000, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, BP 1796 Atlas, Fes 30000, Morocco
机构:
Department of Mathematics University of Science and Technology of China Hefei 230026Department of Mathematics University of Science and Technology of China Hefei 230026