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Destruction of solutions for class of wave p(x)-bi-Laplace equation with nonlinear dissipation
Journal article   Open access  Peer reviewed

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

Khaled Zennir, Abderrahmane Beniani, Belhadji Bochra and Loay Alkhalifa
AIMS mathematics, Vol.8(1), pp.285-294
01/01/2023
DOI: https://doi.org/10.3934/math.2023013

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.3934/math.2023013View
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