arXiv:1804.09050 Abstract | arXiv Analytics

arXiv:1804.09050 [math.PR]Abstract References Reviews Resources

The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate Operator

Published 2018-04-23Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:1202.3296

Categories: math.PR

Keywords: quasilinear stochastic pdes, degenerate operator, obstacle problem, quasilinear stochastic partial differential equations, time-space uniform norm

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