None

Dorina Mitrea, Marius Mitrea

Type: Article

Publication Date: 1996-02-01

Citations: 6

DOI: https://doi.org/10.1090/s1079-6762-96-00012-1

Abstract

A layer potential based approach for boundary value problems for harmonic differential forms in nonsmooth domains is developed. This allows a complete and unified treatment of several fundamental problems in potential theory.

Locations

Electronic Research Announcements of the American Mathematical Society - View - PDF

Similar Works

Action	Title	Year	Authors
+	Boundary value problems for harmonic vector fields on nonsmooth domains	2019	Dorina Mitrea
+	Layer potential methods for boundary value problems on lipschitz domains	1988	Eugene B. Fabes
+	The method of layer potentials in electromagnetic scattering theory on nonsmooth domains	1995	Marius Mitrea
+	A mixed boundary value problem for a harmonic function in a half-space	1974	A. B. Efimov В. Н. Воробьев
+	APPLICATIONS OF LAYER POTENTIAL METHOD TO BOUNDARY VALUE PROBLEMS FOR GENERAL ELLIPTIC AND PARABOLIC EQUATIONS ON LIPSCHITZ DOMAINS	1991	高文杰
+	Layer potentials and boundary value problems for laplace's equation on lipschitz domains : a thesis submitted to the faculty of the graduate school of the University of Minnesota	1982	Gregory C. Verchota
+	The method of layer potentials for non-smooth domains with arbitrary topology	1997	Dorina Mitrea
+	Boundary integral methods for harmonic differential forms in Lipschitz domains	1996	Dorina Mitrea
+	Boundary value problems for harmonic vector fields on non-smooth domains	2000	Dorina Mitrea
+	The biharmonic double layer potential on Lipschitz domains	2006	Martin Costabel
+ PDF Chat	Potential type operators in PDEs and their applications	2017	Evgeniya Burtseva Staffan Lundberg Lars-Erik Persson Natasha Samko
+	Newtonian potential theory for unbounded sources and applications to free boundary problems	1996	Lavi Karp Avmir S. Margulis
+	A mixed boundary value problem for energy minimizing harmonic maps	1996	Frank Duzaar Joseph F. Grotowski
+	A mixed boundary value problem for energy minimizing harmonic maps	1996	Frank Duzaar Joseph F. Grotowski
+ PDF Chat	Layer potential operators and a space of boundary data for electromagnetism in nonsmooth domains.	1996	Rodolfo H. Torres Grant V. Welland
+	Harmonic Analysis and Boundary Value Problems	2001	Luca Capogna Loredana Lanzani
+ PDF Chat	On a Mixed Boundary Value Problem of Harmonic Functions	1956	Nora Pernavs
+ PDF Chat	Linear and nonlinear boundary problems for harmonic functions	1959	M. H. Martin
+ PDF Chat	Linear and Nonlinear Boundary Problems for Harmonic Functions	1959	M. H. Martin
+	Layer potentials in boundary value problems and aerodynamics	2017	Luis Martínez Zoroa

Works That Cite This (6)

Action	Title	Year	Authors
+	Finite Energy Solutions of Maxwell's Equations and Constructive Hodge Decompositions on Nonsmooth Riemannian Manifolds	2002	Dorina Mitrea Marius Mitrea
+	Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds	2004	Marius Mitrea
+	NON-SMOOTH DOMAINS WITH ARBITRARY TOPOLOGY	2000	Dorina Mitrea Marius Mitrea
+	Harmonic integrals on domains with edges	2004	Николай Тарханов
+	Higher degree layer potentials for non-smooth domains with arbitrary topology	2000	Dorina Mitrea Marius Mitrea
+	On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends	2014	Mirela Kohr Cornel Pintea

Works Cited by This (11)

Action	Title	Year	Authors
+	The Theory and Applications of Harmonic Integrals	1989	W. V. D. Hodge
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey
+	The Theory and Applications of Harmonic Integrals	1941	Patrick Du Val
+	Vector potential theory on nonsmooth domains in R3 and applications to electromagnetic scattering	1997	Dorina Mitrea Marius Mitrea Jill Pipher
+	Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains	1984	Gregory C. Verchota
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg
+	The Neumann’s problem for differential forms on Riemannian manifolds	1956	P. E. Conner
+ PDF Chat	Potential techniques for boundary value problems on C1-domains	1978	Eugene B. Fabes Max Jodeit N. M. Rivière
+	The Neumann problem on Lipschitz domains	1981	David Jerison Carlos E. Kenig
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern