Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy

Mohammad Shahrouzi

doi:10.4208/jpde.v27.n4.5

Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy

Authors

Mohammad Shahrouzi Department of Mathematics, Jahrom University, Jahrom 74137-66171, Iran

DOI:

https://doi.org/10.4208/jpde.v27.n4.5

Keywords:

Blow up;fourth order;boundary dissipation

Abstract

In this paper we consider a forth order nonlinear wave equation with dissipative boundary condition. We show that there are solutions under some conditions on initial data which blow up in finite time with positive initial energy.

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Published

2020-05-12

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Issue

Vol. 27 No. 4 (2014)

Section

Articles

How to Cite

Blow-up of Solutions for a Class of Fourth-order Equation Involving Dissipative Boundary Condition and Positive Initial Energy. (2020). Journal of Partial Differential Equations, 27(4), 347-356. https://doi.org/10.4208/jpde.v27.n4.5