The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate Operator

Xue Yang; Jing Zhang

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arXiv · 1804.09050

The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate Operator

Xue Yang·Jing Zhang

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Abstract

We prove the existence and uniqueness of solution of quasilinear stochastic partial differential equations with obstacle (OSPDEs in short) in degenerate case. Using De Giorgi's iteration, we deduce the $L^p-$estimates for the time-space uniform norm of weak solutions.

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Xue Yang, Jing Zhang. 2018-04-23. The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate Operator. https://arxiv.org/abs/1804.09050

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