New Results on the Blow-up of Solutions in L2 at Finite Time ln T1* for a Damped Emden-Fowler Type Degenerate Wave Equation

被引：3

作者：

Zennir, Khaled ^{[1
,2
]}

Georgiev, Svetlin G. ^{[3
]}

机构：

[1] Qassim Univ, Coll Sci & Arts, Dept Math, Buraydah, Saudi Arabia

[2] Univ 20 Aout 1955 Skikda, Dept Math, Lab LAMAHIS, Skikda 21000, Algeria

[3] Univ Sofia, Fac Math & Informat, Dept Differential Equat, Sofia, Bulgaria

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2021年 / 39卷 / 02期

关键词：

Local solution; Emden-Fowler wave equation; Blow-up; ASYMPTOTIC STABILITY; EXISTENCE;

D O I：

10.5269/bspm.40397

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we consider a new class of an Emden-Fowler type semilinear degenerate wave equation with memory. The main contributions here is to exhibit that the memory lets the global solutions of the degenerate problem still non-exist in L-2 at finite time In T1* s.t T1* = 2/P - 1 (integral(r2 vertical bar)(r1)u(0)vertical bar dx) (integral(r2 vertical bar)(r1)u(0)vertical bar dx)(-1.) This is to extend recent result by [19] for the dissipative case.

引用

页码：163 / 179

页数：17

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