Square roots of elliptic second order divergence operators on strongly Lipschitz domains: $L^p$ theory

Pascal Auscher, Ph. Tchamitchian

Type: Article

Publication Date: 2001-07-01

Citations: 33

DOI: https://doi.org/10.1007/pl00004487

View Publication

Locations

Mathematische Annalen - View

Similar Works

Action	Title	Year	Authors
+	Square roots of elliptic second order divergence operators on strongly lipschitz domains:L 2 theory	2003	Pascal Auscher Ph. Tchamitchian
+ PDF Chat	The square root problem for second-order, divergence form operators with mixed boundary conditions on L p	2014	Pascal Auscher Nadine Badr Robert Haller‐Dintelmann Joachim Rehberg
+	Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains	2023	Junqiang Zhang Dachun Yang Sibei Yang
+	Nonconvexity and compact containment of mean value sets for second order uniformly elliptic operators in divergence form	2019	Niles Armstrong
+	L p theory of second-order elliptic operators with discontinuous coefficients	2010	А. А. Дудкина
+	Square function and maximal function estimates for operators beyond divergence form equations	2012	Andreas Rosén
+	Square function and maximal function estimates for operators beyond divergence form equations	2012	Andreas Rosén
+	L p -theory for second-order elliptic operators with unbounded coefficients	2012	Motohiro Sobajima
+ PDF Chat	Square function and maximal function estimates for operators beyond divergence form equations	2013	Andreas Rosén
+	Second Derivative L p -Estimates for Elliptic Equations of Nondivergent Type	1986	Fanghua Lin
+	Schauder-type estimates of solutions of second order elliptic systems in divergence form, in non-regular dohtains<sup>∗</sup>	1991	A. Azzam В А Кондратьев
+	Non-symmetric elliptic operators on bounded Lipschitz domains in the plane	2007	David Rule
+	L 2 Boundedness of Highly Oscillatory Integrals on Product Domains	1988	Elena Prestini
+	Quadrature domains and Laplacian growth	2018	Dmitry Khavinson Erik Lundberg
+	The square root problem for second order, divergence form operators with mixed boundary conditions on $L^p$	2012	Pascal Auscher Nadine Badr Robert Haller‐Dintelmann Joachim Rehberg
+ PDF Chat	The square root problem for second order, divergence form operators with mixed boundary conditions on $L^p$	2015	Pascal Auscher Nadine Badr Robert Haller‐Dintelmann Joachim Rehberg
+	Second-order elliptic equations in smooth domains	1996	Н. В. Крылов
+	L -estimates for the square root of elliptic systems with mixed boundary conditions	2018	Moritz Egert
+	$$L^{p}$$ L p -theory of elliptic differential operators with unbounded coefficients	2017	Khadija Gherairi Rchid Rabaoui Adel Saddi
+	Gradient Estimates for Elliptic Operators with Second-Order Discontinuous Coefficients	2019	Giorgio Metafune Luigi Negro Chiara Spina

Works That Cite This (32)

Action	Title	Year	Authors
+	Hardy spaces associated to the Schrödinger operator on strongly Lipschitz domains of $${\mathbb{R}^d}$$	2009	Jizheng Huang
+ PDF Chat	RACINES CARRÉES D'OPÉRATEURS ELLIPTIQUES ET ESPACES DE HARDY	2011	Emmanuel Russ
+	Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains	2023	Junqiang Zhang Dachun Yang Sibei Yang
+ PDF Chat	Maximal parabolic regularity for divergence operators including mixed boundary conditions	2009	Robert Haller‐Dintelmann Joachim Rehberg
+	Parabolic equations with BMO coefficients in Lipschitz domains	2004	Sun‐Sig Byun
+	Mean square convergence of a semidiscrete scheme for SPDEs of Zakai type driven by square integrable martingales	2010	Annika Lang
+	Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part I: General operator theory and weights	2006	Pascal Auscher José María Martell
+ PDF Chat	Hardy spaces and divergence operators on strongly Lipschitz domains of Rn	2003	Pascal Auscher Emmanuel Russ
+ PDF Chat	Дробные степени операторов, отвечающих коэрцитивным задачам в липшицевых областях	2013	Агранович Агранович Селицкий Селицкий
+	L -estimates for the square root of elliptic systems with mixed boundary conditions	2018	Moritz Egert

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+ PDF Chat	Square root problem for divergence operators and related topics	2018	Pascal Auscher Philippe Tchamitchian
+	The Inhomogeneous Dirichlet Problem in Lipschitz Domains	1995	David Jerison Carlos E. Kenig
+	L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes Lipschitziennes	1982	Ronald R. Coifman Alan McIntosh Yves Meyer
+	Square roots of elliptic operators	1985	Alan McIntosh
+ PDF Chat	Polynomial growth estimates for multilinear singular integral operators	1987	Michael Christ Jean-Lin Journé
+	The conservation property of the heat equation on riemannian manifolds	1959	Matthew P. Gaffney
+	Upper Bounds of Derivatives of the Heat Kernel on an Arbitrary Complete Manifold	1995	Alexander Grigor’yan
+	The Green function for uniformly elliptic equations	1982	Michael Gr�ter Kjell‐Ove Widman
+	The square root problem of Kato in one dimension, and first order elliptic systems	1997	Pascal Auscher Alan McIntosh Andrea R. Nahmod