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Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms

✍ Scribed by V. Georgiev; G. Todorova

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
375 KB
Volume
109
Category
Article
ISSN
0022-0396

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✦ Synopsis

We study the nonlinear wave equation involving the nonlinear damping term (u_{i}\left|u_{t}\right|^{m-1}) and a source term of type (u|u|^{p-1}). For (1<p \leqslant m) we prove a global existence theorem with large initial data. For (1<m<p) a blow-up result is established for sufficiently large initial data. 1994 Academic Press, Inc.

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