Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains

Fritz Gesztesy, Steve Hofmann, Roger Nichols

Type: Article

Publication Date: 2014-12-06

Citations: 3

DOI: https://doi.org/10.1016/j.jde.2014.11.012

View Publication

Locations

Journal of Differential Equations - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains	2014	Fritz Gesztesy Steve Hofmann Roger Nichols
+	Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains	2014	Fritz Gesztesy Steve Hofmann Roger Nichols
+	On Stability of Square Root Domains for Non-Self-Adjoint Operators Under Additive Perturbations	2012	Fritz Gesztesy Steve Hofmann Roger Nichols
+	On Stability of Square Root Domains for Non-Self-Adjoint Operators Under Additive Perturbations	2012	Fritz Gesztesy Steve Hofmann Roger Nichols
+ PDF Chat	ON STABILITY OF SQUARE ROOT DOMAINS FOR NON‐SELF‐ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS	2015	Fritz Gesztesy Steve Hofmann Roger Nichols
+	Nonlinear ellipticity on unbounded domains	2012	Victor L. Shapiro
+	Qualitative Properties of Positive Solutions of Elliptic Equations	2018	H. Berestycki
+	L -estimates for the square root of elliptic systems with mixed boundary conditions	2018	Moritz Egert
+	Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface	2006	M. S. Agranovich
+ PDF Chat	Stability estimates in H01 for solutions of elliptic equations in varying domains	2013	José M. Arrieta Gerassimos Barbatis
+	equations in varying domains	2012	José M. Arrieta Gerassimos Barbatis
+	Semilinear elliptic equations with subcritical absorption in Lipschitz domains	2014	Moshe Marcus
+ PDF Chat	Structural stability for variable exponent elliptic problems, I: The -Laplacian kind problems	2010	Boris Andreïanov Mostafa Bendahmane Stanislas Ouaro
+	Quasilinear elliptic equations with quadratic growth in unbounded domains	1986	Patrizia Donato Daniela Giachetti
+	Positive solutions of linear and quasilinear elliptic equations in unbounded domains	1984	康浩古庄
+ PDF Chat	Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems	2016	Nikos Katzourakis
+	Double resonance in semilinear elliptic boundary value problems over bounded and unbounded domains	1993	Stephen B. Robinson
+	Positive solutions of elliptic operators in unbounded domains	1981	W. Allegretto
+	Structural Stability of Nonlinear Elliptic p(u)-Laplacian Problem with Robin Type Boundary Condition	2021	Stanislas Ouaro Noufou Sawadogo
+	Elliptic boundary-value problems in nonsmooth domains	1995	B. Ya. Roitberg Ya. A. Roitberg

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	The Kato Square Root Problem for Divergence Form Operators with Potential	2020	Julian Bailey
+ PDF Chat	ON STABILITY OF SQUARE ROOT DOMAINS FOR NON‐SELF‐ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS	2015	Fritz Gesztesy Steve Hofmann Roger Nichols
+	The Kato square root problem on an arbitrary domain of $\mathbb{R}^d$	2019	J. H. S. Bailey El Maati Ouhabaz

Works Cited by This (27)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Harmonic Analysis and Partial Differential Equations	1990	Mario Milman Tomas Schonbek
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy
+ PDF Chat	Square root problem for divergence operators and related topics	2018	Pascal Auscher Philippe Tchamitchian
+	L<sup>∞</sup>-ESTIMATES FOR DIVERGENCE OPERATORS ON BAD DOMAINS	2012	A. F. M. ter Elst 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
+	Applications of the purely imaginary powers of operators in Hilbert spaces	1987	Atsushi Yagi
+	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