Abstract
We prove existence of weak solutions (in the probabilistic sense) for a general class of stochastic semilinear wave equations on bounded domains of Rd driven by a possibly discontinuous square integrable martingale. © 2012 Society for Industrial and Applied Mathematics.
Original language | English |
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Pages (from-to) | 906-925 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 44 |
DOIs | |
Publication status | Published - 28 May 2012 |
Keywords
- Infinite dimensional semimartingales
- Monotone operators
- Nonlinear wave equations
- Stochastic PDEs