Global convergence of Faedo-Galerkin approximations to nonlinear wave equations
β Scribed by Norman W. Bazley
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 268 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We give an example of the influence of the dependence of the coefficient of equation on time variable, and in particular oscillations in time, on a global existence of the solution to the nonlinear hyperbolic equation. Namely for arbitrary small initial data we construct a blowing up solution.
## 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)