On the trace embedding and its applications to evolution equations

DOI10.1002/mana.202100192arXiv2104.05063OpenAlexW3160440711MaRDI QIDQ6093822

Mark C. Veraar, Nick Lindemulder, Antonio Agresti

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05063

zbMATH Keywords

Sobolev spacesTriebel-Lizorkin spacesintegral equationsBesov spacesweighted function spacestracesanisotropic function spacesBessel-potential spacesstochastic maximal regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Spaces of vector- and operator-valued functions (46E40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

Maximal \(L^p\)-regularity and \(H^\infty\)-calculus for block operator matrices and applications ⋮ Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity ⋮ Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces ⋮ Stochastic Navier-Stokes equations for turbulent flows in critical spaces

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