Blow up of Solutions of a Nonlinear Viscoelastic Wave Equation

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We consider a nonlinear viscoelastic wave equation with nonlinear source term. Under suitable conditions on g, it is proved that any weak solution with negative initial energy blows up in finite time if p > 2.
Publisher
SPRINGER
Issue Date
2010
Language
English
Article Type
Article
Keywords

BERNOULLI BEAM EQUATION; GLOBAL EXISTENCE; UNIFORM DECAY; MEMORY TERM; STABILITY

Citation

ACTA APPLICANDAE MATHEMATICAE, v.111, no.1, pp.1 - 6

ISSN
0167-8019
DOI
10.1007/s10440-009-9524-3
URI
http://hdl.handle.net/10203/95648
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