\(L^\infty\)-estimates for parabolic systems with VMO-coefficients

DOI10.3934/dcdss.2010.3.299zbMath1201.35059OpenAlexW2047568034MaRDI QIDQ983437

Matthias Hieber, Kyriakos Stavrakidis, Horst Heck

Publication date: 23 July 2010

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2010.3.299

zbMATH Keywords

a priori estimatesparabolic systemssectorial operatorVMOnon-divergence form

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for higher-order parabolic systems (35K46)

Related Items (5)

Analyticity of the Stokes semigroup in spaces of bounded functions ⋮ A \(W^n_2\)-theory of elliptic and parabolic partial differential systems in \(C^1\) domains ⋮ On a class of weakly coupled systems of elliptic operators with unbounded coefficients ⋮ Linear higher order parabolic problems in locally uniform Lebesgue's spaces ⋮ Unnamed Item

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