EXISTENCE AND BLOW UP FOR A NONLINEAR VISCOELASTIC HYPERBOLIC PROBLEM WITH VARIABLE EXPONENTS

被引：3
作者：
Mahdi, Fatima Z. [1 ]
Hakem, Ali [1 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab ACEDP, POB 73, Sidi Bel Abbes 22000, Algeria
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2020年 / 35卷 / 03期
关键词：
Variable exponents; weak solutions; blow up; WEAK SOLUTIONS; WAVE-EQUATION; DECAY; NONEXISTENCE; CONTINUITY; THEOREMS;
D O I：
10.22190/FUM12003647M
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our aim in this paper is to establish the weak existence theorem and find under suitable assumptions sufficient conditions on m; p and the initial data for which the blow up takes place for the following boundary value problem: vertical bar u(t)vertical bar(rho) u(tt) - Delta u - Delta u(tt) + integral(t)(0) g(t - s) Delta u(s)ds + vertical bar u(t)vertical bar(m(x)-2) u(t) = vertical bar u vertical bar(p(x)-2)u. This paper extends some of the results obtained by the authors and it is focused on new results which are consequence of the presence of variable exponents.
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收藏
页码：647 / 672
页数：26
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