Anisotropic Degenerate Parabolic Problems in RN with Variable Exponent and Locally Integrable Data

被引：0
作者：
Mokhtari, Fares [1 ,2 ]
Mecheter, Rabah [3 ]
机构：
[1] Univ Benyoucef Benkhedda, Dept Math & Informat, 2 Rue Didouche Mourad, Algiers, Algeria
[2] ENS Kouba, Lab PDE, Kouba, Algeria
[3] Univ Med BOUDIAF, Dept Math & Informat, BP 166, Msila 28000, Algeria
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 03期
关键词：
Variable exponents; nonlinear parabolic equations; anisotropic equations; unbounded domain; L-loc(1) data;
D O I：
10.1007/s00009-019-1331-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the existence and regularity of weak solutions for a class of nonlinear anisotropic parabolic equations in the whole (0, T) x R-N with p(i)(x) growth conditions and locally integrable data. The functional setting involves Lebesgue-Sobolev spaces with variable exponents. Our results are generalizations of the corresponding results in the constant exponent case and some results given in Bendahmane et al. (Commun Pure Appl Anal 12:1201-1220, 2013).
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页数：21
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