The Kato square root problem on locally uniform domains

DOI10.1016/j.aim.2020.107410zbMath1494.47021arXiv1902.03957OpenAlexW2958627257MaRDI QIDQ2213790

Moritz Egert, Sebastian Bechtel, Robert Haller-Dintelmann

Publication date: 3 December 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03957

zbMATH Keywords

functional calculusfractional LaplacianKato square root problemAhlfors-David regular setslocally uniform domains

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Functional calculus for linear operators (47A60) Second-order elliptic systems (35J47)

Related Items (7)

\(L_p\)-maximal regularity for parabolic and elliptic boundary value problems with boundary conditions of mixed differentiability orders ⋮ Maximal sectorial operators and invariant operator ranges ⋮ \(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions. II ⋮ On Kato square root problem for a parabolic operator and applications ⋮ Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains ⋮ The extension problem for fractional Sobolev spaces with a partial vanishing trace condition ⋮ The square root of a parabolic operator

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