STRONGLY NONLINEAR VARIATIONAL PARABOLIC EQUATIONS WITH p(x)-GROWTH

被引：0
|
作者：
Azroul, Elhoussine [1 ]
Lahmi, Badr [1 ]
Youssfi, Ahmed [2 ]
机构：
[1] Univ Sidi Mohamed Ben Abdellah, Lab LAMA, Fac Sci Dhar El Mahraz, Dept Math, POB 1796, Atlas Fes 30000, Morocco
[2] Univ Sidi Mohamed Ben Abdellah, Natl Sch Appl Sci, Lab Engn Syst & Applicat, POB 72 Principale, Fes 30000, Morocco
来源：
ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 05期
关键词：
nonlinear parabolic equations; existence; variable exponents; weak solution; SOBOLEV SPACES; VARIABLE EXPONENT; EXISTENCE; C(INFINITY)(0)(R-N);
D O I：
10.1016/S0252-9602(16)30076-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Dirichlet problem associated to strongly nonlinear parabolic equations involving p(x) structure in W-0(1,x) L-p(x) (Q). We prove the existence of weak solutions by applying Galerkin's approximation method.
引用
收藏
页码：1383 / 1404
页数：22
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