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arXiv · 1404.4401

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

Máté Gerencsér·István Gyöngy·Nicolai Krylov
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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.

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Máté Gerencsér, István Gyöngy, Nicolai Krylov. 2014-04-16. On the solvability of degenerate stochastic partial differential equations in Sobolev spaces. https://doi.org/10.1007/s40072-014-0042-6

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