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Absolute continuity of the solution to the stochastic Burgers equation

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  • Olivera, Christian
  • Tudor, Ciprian A.

Abstract

We prove the existence and the Besov regularity of the density of the solution to a general parabolic SPDE which includes the stochastic Burgers equation on an unbounded domain. We use an elementary approach based on the fractional integration by parts.

Suggested Citation

  • Olivera, Christian & Tudor, Ciprian A., 2021. "Absolute continuity of the solution to the stochastic Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921009899
    DOI: 10.1016/j.chaos.2021.111635
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    References listed on IDEAS

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    1. Gyöngy, István, 1998. "Existence and uniqueness results for semilinear stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 73(2), pages 271-299, March.
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