The Neumann problem for a Barenblatt equation with a multiplicative stochastic force and a nonlinear source term

DOI10.1007/s00030-019-0567-5OpenAlexW2947411800MaRDI QIDQ2316082

Caroline Bauzet, Asghar Maitlo, Frédéric Lebon

Publication date: 26 July 2019

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-019-0567-5

zbMATH Keywords

heat equationfixed pointItô integralmaximal monotone operatorNeumann conditionmultiplicative noiseadditive noisetime discretizationstochastic forcestochastic Barenblatt equation

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Nonlinear evolution equations (47J35)

Related Items

Well-posedness for the coupling of a random heat equation with a multiplicative stochastic Barenblatt equation

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