The square root problem for second-order, divergence form operators with mixed boundary conditions on \(L^p\)

DOI10.1007/s00028-014-0255-1zbMath1333.47034arXiv1210.0780OpenAlexW2963067243MaRDI QIDQ2351630

Pascal Auscher, Nadine Badr, Joachim Rehberg, Robert Haller-Dintelmann

Publication date: 26 June 2015

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

Full work available at URL: https://arxiv.org/abs/1210.0780

zbMATH Keywords

Calderón-Zygmund decompositionHardy's inequalityKato's square root problemelliptic operators with bounded measurable coefficientsinterpolation in case of mixed boundary values

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Second-order elliptic equations (35J15) Inequalities for sums, series and integrals (26D15) Interpolation between normed linear spaces (46B70) Linear accretive operators, dissipative operators, etc. (47B44)

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