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- Title
STOCHASTIC WAVE EQUATIONS WITH NONLINEAR DAMPING AND SOURCE TERMS.
- Authors
GAO, HONGJUN; LIANG, FEI; GUO, BOLING
- Abstract
In this paper, we discuss an initial boundary value problem for the stochastic wave equation involving the nonlinear damping term |ut|q-2ut and a source term of the type|u|p-2u. We firstly establish the local existence and uniqueness of solution by the Galerkin approximation method and show that the solution is global for q ≥ p. Secondly, by an appropriate energy inequality, the local solution of the stochastic equations will blow up with positive probability or explosive in energy sense for p > q.
- Subjects
WAVE equation; NONLINEAR systems; DAMPING (Mechanics); BOUNDARY value problems; GALERKIN methods; PROBABILITY theory; STOCHASTIC systems
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2013, Vol 16, Issue 2, p-1
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025713500136