On the Stochastic Wave Equation with Nonlinear Damping
Journal Article
·
· Applied Mathematics and Optimization
- Virginia Tech, Department of Mathematics (United States), E-mail: kim@math.vt.edu
We discuss an initial boundary value problem for the stochastic wave equation with nonlinear damping. We establish the existence and uniqueness of a solution. Our method for the existence of pathwise solutions consists of regularization of the equation and data, the Galerkin approximation and an elementary measure-theoretic argument. We also prove the existence of an invariant measure when the equation has pure nonlinear damping.
- OSTI ID:
- 21241988
- Journal Information:
- Applied Mathematics and Optimization, Vol. 58, Issue 1; Other Information: DOI: 10.1007/s00245-007-9029-2; Copyright (c) 2008 Springer Science+Business Media, LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
Similar Records
The Stochastic Nonlinear Damped Wave Equation
Pathwise Solutions of the 2-D Stochastic Primitive Equations
Nuclear space-valued stochastic differential equations driven by Poisson random measures
Journal Article
·
Thu Dec 19 00:00:00 EST 2002
· Applied Mathematics and Optimization
·
OSTI ID:21241988
Pathwise Solutions of the 2-D Stochastic Primitive Equations
Journal Article
·
Wed Jun 15 00:00:00 EDT 2011
· Applied Mathematics and Optimization
·
OSTI ID:21241988
Nuclear space-valued stochastic differential equations driven by Poisson random measures
Miscellaneous
·
Wed Jan 01 00:00:00 EST 1992
·
OSTI ID:21241988