Kato square root problem with unbounded leading coefficients

Luis Escauriaza, Steve Hofmann

Type: Article

Publication Date: 2018-06-06

Citations: 7

DOI: https://doi.org/10.1090/proc/14224

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Locations

Proceedings of the American Mathematical Society - View
arXiv (Cornell University) - View - PDF

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+ PDF Chat	$$L^p$$ theory for the square roots and square functions of elliptic operators having a BMO anti-symmetric part	2022	Steve Hofmann Linhan Li Svitlana Mayboroda Jill Pipher
+ PDF Chat	Boundary behavior of solutions of elliptic operators in divergence form with a BMO anti-symmetric part	2019	Linhan Li Jill Pipher
+ PDF Chat	The Dirichlet problem for elliptic operators having a BMO anti-symmetric part	2021	Steve Hofmann Linhan Li Svitlana Mayboroda Jill Pipher
+ PDF Chat	A universal variational framework for parabolic equations and systems	2023	Pascal Auscher Moritz Egert
+ PDF Chat	The Kato square root problem for weighted parabolic operators	2024	Alireza Ataei Moritz Egert Kaj Nyström
+	On the Kato Problem for Elliptic Operators in Non-Divergence Form	2024	Luis Escauriaza Pablo Hidalgo-Palencia Steve Hofmann
+	The weighted Kato square root problem of elliptic operators having a BMO anti-symmetric part	2024	Wenxian Ma Sibei Yang

Works Cited by This (31)

Action	Title	Year	Authors
+	Compensated compactness and Hardy spaces	1993	Ronald R. Coifman Pierre Louis Lions Yves Meyer Stephen Semmes
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+ PDF Chat	Square root problem for divergence operators and related topics	2018	Pascal Auscher Philippe Tchamitchian
+ PDF Chat	On the comparability of 𝐴^{1/2} and 𝐴^{∗1/2}	1972	Alan McIntosh
+ PDF Chat	Remarks on Kato's square-root problem	1991	Jean-Lin Journé
+	L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes Lipschitziennes	1982	Ronald R. Coifman Alan McIntosh Yves Meyer
+	Analyticity of layer potentials and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> solvability of boundary value problems for divergence form elliptic equations with complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mo>∞</mml:mo></mml:msup></mml:math> coefficients	2010	M. Angeles Alfonseca Pascal Auscher Andreas Axelsson Steve Hofmann Seick Kim
+	On functions of bounded mean oscillation	1961	Franklin John Louis Nirenberg
+	Heat Kernels of Second Order Complex Elliptic Operators and Applications	1998	Pascal Auscher Alan McIntosh Philippe Tchamitchian