Quasilinear stochastic elliptic equations with reflection

David Nualart and Samy Tindel

Stochastic Processes and their Applications, 1995, vol. 57, issue 1, 73-82

Abstract: In this note we prove the existence and uniqueness of the solution to an elliptic SPDE with and additive white noise reflected at zero. The proof is based on the existence and uniqueness of a strong solution for a class of elliptic variational inequalities.

Keywords: Stochastic; partial; differential; equations; Variational; inequalities; Superharmonic; functions (search for similar items in EconPapers)
Date: 1995
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