Double layer potential representation of the solution of the Dirichlet problem (Preliminary communication)
Double layer potentials and the Dirichlet problem
Double layer potentials on boundaries with corners and edges
Einige Bemerkungen über den Satz von Keldych.
Enlarging a subspace of C(X) without changing the Choquet boundary.
Essential norms of a potential theoretic boundary integral operator in
Let be an open set with a compact boundary and let be a finite measure on . Consider the space of all -integrable functions on and, for each...
Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition.
Exact solutions to some external mixed problems in potential theory
A new and elegant procedure is proposed for the solution of mixed potential problems in a half-space with a circular line of division of boundary conditions. The approach is based on a new type of integral operators with special properties. Two general external problems are solved; i) An arbitrary potential is specified at the boundary outside a circle, and its normal derivative is zero inside; ii) An arbitrary normal derivative is given outside the circle, and be potential is zero inside. Several...
Extensions of operators and the Dirichlet problem in potential theory
Extremal plurisubharmonic functions and invariant pseudodistances
Fredholm radius of a potential theoretic operator for convex sets
Generalized Robin problem in potential theory
Hardy spaces and the Dirichlet problem on Lipschitz domains.
Our concern in this paper is to describe a class of Hardy spaces Hp(D) for 1 ≤ p < 2 on a Lipschitz domain D ⊂ Rn when n ≥ 3, and a certain smooth counterpart of Hp(D) on Rn-1, by providing an atomic decomposition and a description of their duals.
Harmonic functions in a cylinder with normal derivatives vanishing on the boundary
A harmonic function in a cylinder with the normal derivative vanishing on the boundary is expanded into an infinite sum of certain fundamental harmonic functions. The growth condition under which it is reduced to a finite sum of them is given.
Hearing the shape of membranes: Further results.
Integrální rovnice v teorii potenciálu
Invariance of the Fredholm radius of the Neumann operator
Invariant operators and integral representations in hyperbolic space.
Inverse problems for the volume potential
La quasi-continuité dans l'étude du problème de Dirichlet. Effilement minimal abstrait et ensembles convexes compacts
Les problèmes de Dirichlet sur la frontière de Martin, sur la frontière de Choquet d’un simplexe métrisable compact, et sur la frontière de Silov d’un simplexe de Bauer métrisable sont tous susceptibles d’une seule méthode de résolution qui utilise un espace de fonctions dites quasi-continues. Cela contient aussi le théorème des limites fines de Fatou-Naïm qui exprime une quasi-continuité jusqu’à la frontière.