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Quasilinear stochastic elliptic equations with reflection

Author

Listed:
  • Nualart, David
  • Tindel, Samy

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.

Suggested Citation

  • Nualart, David & Tindel, Samy, 1995. "Quasilinear stochastic elliptic equations with reflection," Stochastic Processes and their Applications, Elsevier, vol. 57(1), pages 73-82, May.
  • Handle: RePEc:eee:spapps:v:57:y:1995:i:1:p:73-82
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    Cited by:

    1. Richard, Alexandre, 2015. "A fractional Brownian field indexed by L2 and a varying Hurst parameter," Stochastic Processes and their Applications, Elsevier, vol. 125(4), pages 1394-1425.

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