Nonlinear parabolic stochastic evolution equations in critical spaces. II: Blow-up criteria and instantaneous regularization

DOI10.1007/s00028-022-00786-7zbMath1491.60093arXiv2012.04448OpenAlexW4281710299MaRDI QIDQ2146351

Antonio Agresti, Mark C. Veraar

Publication date: 16 June 2022

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

Full work available at URL: https://arxiv.org/abs/2012.04448

zbMATH Keywords

weightsregularityquasilinearstochastic evolution equationsblow-up criteriasemilinearstochastic maximal regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Equations in function spaces; evolution equations (58D25) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (8)

Heat diffusion in a channel under white noise modeling of turbulence ⋮ 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 ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic maximal \(L^{p}\)-regularity
• On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces
• A theory of regularity structures
• Traces and embeddings of anisotropic function spaces
• Stochastic partial differential equations: an introduction
• On the quasi-geostrophic equations on compact closed surfaces in \(\mathbb{R}^3\)
• Addendum to the paper ``On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II
• On critical spaces for the Navier-Stokes equations
• Itô's formula in UMD Banach spaces and regularity of solutions of the Zakai equation
• Stochastic evolution equations in UMD Banach spaces
• Partial differential equations. III: Nonlinear equations.
• Parabolic equations for curves on surfaces. I: Curves with \(p\)-integrable curvature
• Critical spaces for quasilinear parabolic evolution equations and applications
• Stability properties of stochastic maximal \(L^p\)-regularity
• Pathwise mild solutions for quasilinear stochastic partial differential equations
• Stochastic maximal regularity for rough time-dependent problems
• Stochastic integration in UMD Banach spaces
• Quasilinear parabolic stochastic partial differential equations: existence, uniqueness
• A new approach to stochastic evolution equations with adapted drift
• The functional calculus for sectorial operators
• Moving Interfaces and Quasilinear Parabolic Evolution Equations
• Analysis in Banach Spaces
• Maximal $L^p$-Regularity for Stochastic Evolution Equations
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Nonlinear analytic semiflows
• The Navier-Stokes Problem in the 21st Century
• Abstract Parabolic Evolution Equations and their Applications
• On stochastic convolution in banach spaces and applications
• Analysis in Banach Spaces
• Complex interpolation with Dirichlet boundary conditions on the half line
• Stochastic Equations in Infinite Dimensions
• Stochastic Integration in Banach Spaces – a Survey
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Nonlinear parabolic stochastic evolution equations in critical spaces. II: Blow-up criteria and instantaneous regularization