Destruction of solutions for class of wave $ p(x)- $bi-Laplace equation with nonlinear dissipation-Reference-Cited by-同舟云学术

Destruction of solutions for class of wave $ p(x)- $bi-Laplace equation with nonlinear dissipation

Published:2023 Issue:1 Volume:8 Page:285-294
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zennir Khaled¹²,Beniani Abderrahmane³,Bochra Belhadji⁴,Alkhalifa Loay¹

Affiliation:

1. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia

2. Laboratoire de Mathématiques Appliquées et de Modélisation, Université 8 Mai 1945 Guelma, B.P. 401, Guelma 24000, Algeria

3. EDPs Analysis and Control Laboratory, Department of Mathematics, BP 284, University Ain Témouchent BELHADJ, Bouchaib 46000, Algeria

4. Laboratoire de Mathématiques et Sciences Appliquées, Université de Ghardaia, BP 455, Ghardaia 47000, Algeria

Abstract

<abstract><p>An initial value problem is considered for the nonlinear dissipative wave equation containing the $ p(x) $-bi-Laplacian operator. For this problem, sufficient conditions for the blow-up with nonpositive initial energy of a generalized solution are obtained in finite time where a wide variety of techniques are used.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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