Stochastic and deterministic parabolic equations with bounded measurable coefficients in space and time: well-posedness and maximal regularity

DOI10.1016/J.JDE.2024.11.038MaRDI QIDQ6667460

Pierre Portal, Pascal Auscher

Publication date: 20 January 2025

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

tent spacesCauchy problemssquare functionsparabolic stochastic PDELions operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Applications of stochastic analysis (to PDEs, etc.) (60H30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Harmonic analysis and PDEs (42B37)

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On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces

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