A method for obtaining time-periodic \(L^{p}\) estimates

DOI10.1016/J.JDE.2016.09.037zbMath1368.35048OpenAlexW2529305260MaRDI QIDQ338465

Jonas Sauer, Mads Kyed

Publication date: 4 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.09.037

zbMATH Keywords

maximal regularitywhole spacebounded domainshalf spacetime-periodic fundamental solution

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Heat equation (35K05) A priori estimates in context of PDEs (35B45)

Related Items (5)

Periodic \(\mathrm{L}_p\) estimates by \(\mathscr{R}\)-boundedness: applications to the Navier-Stokes equations ⋮ On time-periodic solutions to parabolic boundary value problems ⋮ Primitive equations with horizontal viscosity: the initial value and the time-periodic problem for physical boundary conditions ⋮ If time were a graph, what would evolution equations look like? ⋮ Nonlinear acoustics: Blackstock-Crighton equations with a periodic forcing term

Cites Work

• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• On \(L_ p\) multipliers
• Vector-valued Laplace Transforms and Cauchy Problems
• Classical Fourier Analysis
• Time-periodic solutions of linear parabolic differential equations
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
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