Singular Integrals and Elliptic Boundary Problems on Regular Semmes-Kenig-Toro Domains

Steve Hofmann, Marius Mitrea, Michael Taylor

Type: Article

Publication Date: 2009-12-15

Citations: 153

DOI: https://doi.org/10.1093/imrn/rnp214

View Publication

Locations

International Mathematics Research Notices - View

Similar Works

Action	Title	Year	Authors
+	On singular and regular cauchy problems	1956	J. B. Díaz
+	Singular integral equations, spaces of homogeneous type and boundary elements in non-smooth domains	1991	Vilhelm Adolfsson Björn Jawerth Rodolfo H. Torres
+	Zur Existenz von Eigenspektralfunktionen mit Singularitäten	1979	Peter Jonas
+	On a class of singular cauchy problems.	1979	J.D. Siersma
+	On a nonhomogeneous Kirchhoff type elliptic system with the singular Trudinger-Moser growth	2022	Shengbing Deng Xingliang Tian
+	Singular Riemann-Hilbert problem in complex-shaped domains	2014	С. И. Безродных В. И. Власов
+	Classes of regular and singular boundary problems	1992	Yu. A. Konyaev
+	Singular integrals and boundary value problems for elliptic systems	2019	Marín García Juan José
+	A class of singular Gierer–Meinhardt systems of elliptic boundary value problems	2004	Eun Heui Kim
+	A class of singular Gierer–Meinhardt systems of elliptic boundary value problems	2004	E KIM
+	Singular solutions for the shallow-water equations	2012	Henrik Kalisch Darko Mitrović
+	The Dirichlet problem for singularly perturbed elliptic equations	1998	Yanyan Li Louis Nirenberg
+	Singular Perturbations I. Spaces and Singular Perturbations on Manifolds without Boundaries (L. S. Frank)	1992	Robert E. O’Malley
+	Rectifiability and singular integrals	1995	Pertti Mattila
+	Zur Theorie der singulären Integralgleichungen	1974	Erik Svenson
+	Numerische Quadratur von Funktionen mit Singularitäten	1974	Franz Locher
+	Boundary blow-up for a Brezis-Peletier problem on a singular domain	2003	Angela Pistoia Olivier Rey
+	Existence and regularity properties of non-isotropic singular elliptic equations	2010	Marcelo Montenegro Olivâine S. de Queiroz Eduardo V. Teixeira
+	Singular Integrals and Boundary Value Problems	1966	R. Seeley
+	The spectrum of singular boundary problems	1966	M. Š. Birman

Works That Cite This (147)

Action	Title	Year	Authors
+	Jump formulas for singular integrals and layer potentials on rectifiable sets	2020	Xavier Tolsa
+	On the Well-posedness of the Dirichlet Problem in Certain Classes of Nontangentially Accessible Domains	2009	Dorina Mitrea Marius Mitrea
+ PDF Chat	Spectral properties of the Dirac operator coupled with $$\delta $$-shell interactions	2022	Badreddine Benhellal
+	Extrapolation on function and modular spaces, and applications	2022	Mingming Cao Juan Marín José María Martell
+ PDF Chat	Multi‐to One‐Dimensional Optimal Transport	2017	Pierre‐André Chiappori Robert J. McCann Brendan Pass
+ PDF Chat	The regularity problem for the Laplace equation in rough domains	2024	Mihalis Mourgoglou Xavier Tolsa
+ PDF Chat	Optimal Transportation Between Unequal Dimensions	2020	Robert J. McCann Brendan Pass
+	Two Phase Free Boundary Problem for Poisson Kernels	2019	Simon Bortz Max Engelstein Max Goering Tatiana Toro Zihui Zhao
+	Multilayer potentials for higher-order systems in rough domains	2021	G. Hoepfner Paulo Liboni Dorina Mitrea Irina Mitrea Marius Mitrea
+	Harmonic Measure and the Analyst's Traveling Salesman Theorem	2019	Jonas Azzam

Works Cited by This (97)

Action	Title	Year	Authors
+ PDF Chat	On commutators of singular integrals	1975	Calixto P. Calderón
+	Square functions, Cauchy integrals, analytic capacity, and harmonic measure	1989	Peter W. Jones
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials	1997	Steve Hofmann
+	Interpolation of Operators	1988	Curtis D. Bennett M Sharpley
+ PDF Chat	Estimates for singular integral operators in terms of maximal functions	1972	A. Calderón
+	The Dirichlet problem for the Stokes system on Lipschitz domains	1988	Eugene B. Fabes Carlos E. Kenig Gregory C. Verchota
+ PDF Chat	Boundary value problems for the Stokes system in arbitrary Lipschitz domains	2008	Matthew E. Wright
+	Integral Equation Methods in Scattering Theory	2013	David Colton Rainer Kreß
+	Geometric Measure Theory	1988	Herbert Fédérer