研究亮点

The obstacle problem for quasilinear stochastic PDEs with degenerate operator

2020-09-23 09:29

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 de-duce the $L^p-$estimates for the time-space uniform norm of weak solutions.

[ 1 ] Denis L., Matoussi A. and Zhang J.: The obstacle problem for quasilinear stochastic PDEs: Analytical approach. The Annals of Probability, 42, 865--905 (2014).


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