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

DOI10.1080/07362994.2021.1871626zbMath1479.60121arXiv1912.09728OpenAlexW3123519889MaRDI QIDQ3383686

Asghar Maitlo, Frédéric Lebon, Aleksandra Zimmermann, Caroline Bauzet

Publication date: 16 December 2021

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09728

zbMATH Keywords

maximal monotone operatorsfixed pointItô integralNeumann conditionmultiplicative noiseadditive noisetime discretizationBarenblatt equationrandom heat equationstochastic nonlinear evolution system

Mathematics Subject Classification ID

Heat equation (35K05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Nonlinear evolution equations (47J35)

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