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Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation

โœ Scribed by S.T. Wu; L.Y. Tsai

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
212 KB
Volume
65
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

The initial boundary value problem for non-linear wave equations of Kirchhoff type with dissipation in a bounded domain is considered. We prove the blow-up of solutions for the strong dissipative term u t and the linear dissipative term u t by the energy method and give some estimates for the life span of solutions. We also show the nonexistence of global solutions with positive initial energy for non-linear dissipative term by Vitillaro's argument.

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