Abstract
Systems of parabolic, possibly degenerate parabolic SPDEs are considered. Existence and uniqueness are established in Sobolev spaces. Similar results are obtained for a class of equations generalizing the deterministic first order symmetric hyperbolic systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 52-83 |
| Number of pages | 32 |
| Journal | Stochastics and Partial Differential Equations: Analysis and Computations |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2015 |
Bibliographical note
Publisher Copyright:© Springer Science+Business Media New York 2014.
Keywords
- Cauchy problem
- Degenerate stochastic parabolic PDEs
- First order symmetric hyperbolic system
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