The Fredholm method in potential theory

Keywords

Mathematics, Fredholm theory, Fredholm integral equation, Potential theory, Mathematical analysis

References

• Théorie des distributionsLaurent Schwartz — 1966
• The (,) rectifiable subsets of -spaceHerbert Fédérer — 1947
• Functions whose partial derivatives are measuresWendell H. Fleming — 1958
• Representations of generalized surfaces as mixturesWendell H. Fleming, Louise Young — 1956
• Ideale Ränder Riemannscher FlächenCorneliu Constantinescu, Aurel Cornea — 1963
• Normal and Integral CurrentsHerbert Fédérer, Wendell H. Fleming — 1960
• Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer FlächenKlaus Krickeberg — 1957
• Functions with generalized gradients in the theory of cell functionsChristian Y. Pauc — 1957
• A Theory of Boundary ValuesLouise Young — 1965
• The (φ, k) Rectifiable Subsets of n SpaceHerbert Fédérer — 1947
• A note on the Gauss-Green theoremHerbert Fédérer — 1958
• Espaces et lignes de GreenMarcel Brelot, Gustave Choquet — 1951
• Su una teoria generale della misura (r − 1)-dimensionale in uno spazio adr dimensioniEnnio De Giorgi — 1954
• Les potentiels d'energie finieJacques Deny — 1950
• Functions with generalized gradient and generalized surfacesWendell H. Fleming — 1957
• Normal derivatives on an ideal boundaryFumi-Yuki Maeda — 1964
• The Gauss-Green theoremHerbert Fédérer — 1945
• The Fredholm radius of an operator in potential theoryJosef Král — 1965
• Distribuzioni aventi derivate misure insiemi di perimetro localmente finitoMario Miranda — 1964
• The surface integralJan Mařík — 1956

Cited by

• The third boundary value problem in potential theory for domains with a piecewise smooth boundaryDagmar Medková — 1997
• A numerical solution of the dirichlet problem on some special doubly connected regionsMiroslav Dont, Eva Dontová — 1998
• Solution of the Robin problem for the Laplace equationDagmar Medková — 1998
• Angular limits of the integrals of the Cauchy typeJosef Král, Dagmar Medková — 1997
• Solution of the Dirichlet Problem for the Laplace equationDagmar Medková — 1999
• The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functionsGershon Kresin, Vladimir Maz’ya — 1995
• On Neumann's method for the exterior neumann problem for the Helmholtz equationR. E. Kleinman, Wolfgang L. Wendland — 1977
• The harmonic dirichlet problem for a cracked domain with jump conditions on cracksDagmar Medková, П. А. Крутицкий — 2004
• Boundedness of the solution of the third problem for the Laplace equationDagmar Medková — 2005
• Single and Double Layer Potentials on Domains with Conical Points I: Straight ConesYu Qiao, Victor Nistor — 2012
• Contractivity of C. Neumann's operator in potential theoryJosef Král, Ivan Netuka — 1977
• The exterior Robin problem for the Helmholtz equationJohn F. Ahner — 1978
• Some remarks on harmonic measure in space.William P. Ziemer — 1974
• Fast numerical methods for non-local operatorsWolfgang Hackbusch, Stefan Sauter, Christoph Schwab — 2004
• Remarks on some notions of weak solutions for the Helmholtz equationAndreas Kirsch — 1992
• On the Fredholm radius of integral operators of potential theoryN. V. Grachev, Vladimir Maz’ya — 1993
• Boundary integral equations for the Helmholtz equation: The third boundary value problemT. S. Angell, R. E. Kleinman, George C. Hsiao — 1982
• Boundary regularity and normal derivatives of logarithmic potentialsJ Král — 1987
• Continuous Extendibility of Solutions of the Third Problem for the Laplace EquationDagmar Medková — 2003
• The integral representation for a solution of the 2-d Dirichlet problem with boundary data on closed and open curvesП. А. Крутицкий — 2000

Related papers

• Construction of the potential of the 3D Schrödinger equation from the scattering operator by using a Fredholm integral equation.Tuncay Aktosun, Cornelis van der Mee — 1989
• DETERMINANTAL SOLUTION OF THE FREDHOLM EQUATION WITH GREEN'S FUNCTION KERNELHenry Brysk — 1963
• Estimates for fredholm integral equationsH. J. Dobner — 1999
• On computing the trace of the kernel of the homogeneous Fredholm’s equationJ. M. Velázquez-Arcos, C. A. Vargas, J.L. Fernandez-Chapou — 2008
• Volterra-Fredholm integral equation of the first kind and spectral relationshipsM.A. Abdou, F.A. Salama — 2004