Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*

DOI10.1088/1361-6544/abd613zbMath1496.60068arXiv2001.00512OpenAlexW2997071108MaRDI QIDQ5097570

Antonio Agresti, Mark C. Veraar

Publication date: 25 August 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00512

zbMATH Keywords

Burgers equationCahn-Hilliard equationmaximal regularitycritical spacesAllen-Cahn equationparabolic sde

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Quasilinear parabolic equations (35K59)

Related Items (9)

Maximal \(L^p\)-regularity and \(H^\infty\)-calculus for block operator matrices and applications ⋮ On the trace embedding and its applications to evolution equations ⋮ Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity ⋮ A discrete framework for the interpolation of Banach spaces ⋮ Sharp convex generalizations of stochastic Gronwall inequalities ⋮ Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces ⋮ Stochastic Navier-Stokes equations for turbulent flows in critical spaces ⋮ The critical variational setting for stochastic evolution equations ⋮ The primitive equations with stochastic wind driven boundary conditions

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