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Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms

  • Shun-Tang Wu (a1)

Abstract

An initial–boundary-value problem for a class of wave equations with nonlinear damping and source terms in a bounded domain is considered. We establish the non-existence result of global solutions with the initial energy controlled above by a critical value via the method introduced in a work by Autuori et al. in 2010. This improves the 2009 result of Liu and Wang.

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Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms

  • Shun-Tang Wu (a1)

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