The solution of the Kato problem for degenerate elliptic operators with Gaussian bounds

DOI10.1090/S0002-9947-2012-05380-3zbMath1278.35111arXiv0907.2947OpenAlexW1984517972MaRDI QIDQ2839940

Cristian Rios, David V. Cruz-Uribe

Publication date: 17 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2947

zbMATH Keywords

Kato square root problemdegenerate elliptic operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) Integral representations of solutions to PDEs (35C15) Degenerate elliptic equations (35J70) Applications of operator theory to differential and integral equations (47N20) Initial value problems for second-order parabolic systems (35K45)

Related Items

ON STABILITY OF SQUARE ROOT DOMAINS FOR NON‐SELF‐ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS ⋮ On the Kato problem and extensions for degenerate elliptic operators ⋮ Boundedness of fractional heat semigroups generated by degenerate Schrödinger operators ⋮ The regularity problem for degenerate elliptic operators in weighted spaces ⋮ Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains ⋮ The Kato problem for operators with weighted ellipticity ⋮ Riesz transform characterizations of Hardy spaces associated to degenerate elliptic operators

Cites Work

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