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

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

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 techniqu...

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Bibliographic Details
Main Authors: Khaled Zennir, Abderrahmane Beniani, Belhadji Bochra, Loay Alkhalifa
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
sobolev spaces with variable exponents
p(x)-bi-laplace
blow-up
initial energy
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023013?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023013?viewType=HTML

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