On some nonlinear evolution equations with the strong dissipation, II
β Scribed by Yukiyoshi Ebihara
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 503 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
## Abstract In this paper we prove the existence of global decaying __H__^2^ solutions to the Cauchy problem for a wave equation with a nonlinear dissipative term by constructing a stable set in __H__^1^(β^__n__^ ). (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.