LOCAL EXISTENCE AND SUFFICIENT CONDITIONS OF THE NON-GLOBAL SOLUTION FOR WEIGHTED DAMPED WAVE EQUATIONS

Facta Universitatis. Series Mathematics and Informatics

Hadj Kaddour Tayeb¹ 

[1] Faculté de technologie, département ST, université Djillali Liabès. 22000 Sidi Bel Abbes. ALGERIE.

关键词: Damped wave equation;    weak solution;    test function;    fractional derivative.;   

DOI  :  10.22190/FUMI1705629T

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In this paper we study the following Cauchy problem of the weighted damped wave equation with nonlinear memory in the multi-dimensional real space Rn. where, m > 1, p > 1, 0 < gama < 1 and Delta is the usual Laplace operator and g is a positive smooth function which will be specified later. Firstly, we will prove the existence and uniqueness of the local solution theorem and, secondly, the nonexistence of the global solutions theorem is established.

【 授权许可】

Unknown