Some properties of a class of stochastic heat and wave equations with multiplicative Gaussian noises
We study stochastic partial differential equations of the form Lu = ∆u+σ(u)N˙ with particular initial conditions. Here L denotes a first or second order partial differential operator, N˙ a Gaussian noise, ∆ the Laplacian operator, and σ : R → R a Lipschitz continuous function. In the first case we c...
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| Format: | Default Thesis |
| Published: |
2015
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| Online Access: | https://hdl.handle.net/2134/19611 |
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