On the solvability of degenerate stochastic partial differential equations in Sobolev spaces

Istv\'an Gy\"ongy; M\'at\'e Gerencs\'er; Nicolai Krylov

arxiv: 1404.4401 · v1 · pith:X7LV6YT3new · submitted 2014-04-16 · 🧮 math.AP

On the solvability of degenerate stochastic partial differential equations in Sobolev spaces

M\'at\'e Gerencs\'er , Istv\'an Gy\"ongy , Nicolai Krylov This is my paper

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keywords degenerateequationsparabolicsobolevspacessystemsclassconsidered

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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.

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On the solvability of degenerate stochastic partial differential equations in Sobolev spaces

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