Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data

被引：4
作者：
Sabiry, Abdelaziz [1 ]
Zineddaine, Ghizlane [1 ]
Melliani, Said [1 ]
Kassidi, Abderrazak [1 ]
机构：
[1] Univ Sultan Moulay Slimane, Lab Math Appl & Calcul Sci, BP 523, Beni Mellal 23000, Morocco
来源：
FILOMAT | 2023年 / 37卷 / 22期
关键词：
Regularity; Existence; A priori estimates; p(; )-parabolic capacity; RENORMALIZED SOLUTIONS; PARABOLIC EQUATIONS; ELLIPTIC-EQUATIONS; VARIABLE EXPONENT; SPACES; CAPACITY;
D O I：
10.2298/FIL2322559S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work investigates the regularity of solutions to a nonlinear parabolic equation with pertur-bations and general measure data. Our approach involves a combination of convergence and compactness techniques in variable exponent Sobolev spaces.
引用
收藏
页码：7559 / 7579
页数：21
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