Local L^p-solution for semilinear heat equation with fractional noise

DOI10.5186/aasfm.2020.4505zbMath1437.60036arXiv1902.06084OpenAlexW3001356816MaRDI QIDQ5107638

Jorge Clarke, Christian Olivera

Publication date: 28 April 2020

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06084

zbMATH Keywords

heat equationfractional Brownian motionmild solutionstochastic partial differential equationunbounded coefficientscylindrical fractional Brownian motion

Mathematics Subject Classification ID

Heat equation (35K05) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Second-order parabolic equations (35K10) Semilinear parabolic equations (35K58)

Related Items (2)

Well-posedness for Hardy-Hénon parabolic equations with fractional Brownian noise ⋮ \(\mathbb{L}^p\)-solutions of deterministic and stochastic convective Brinkman-Forchheimer equations

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