Well-posedness of first order semilinear PDEs by stochastic perturbation

DOI10.1016/j.na.2013.10.022zbMath1295.60076arXiv1310.7404OpenAlexW2963614129MaRDI QIDQ2436734

Christian Olivera

Publication date: 26 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7404

zbMATH Keywords

stochastic characteristic methodstochastic perturbationcommuting lemmafirst-order stochastic partial differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items

The transport equation and zero quadratic variation processes ⋮ The density of the solution to the stochastic transport equation with fractional noise

Cites Work

• The interaction between noise and transport mechanisms in PDEs
• Well-posedness of the transport equation by stochastic perturbation
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