Refinement of an Lp-Estimate of Solonnikov for a Parabolic Equation of the Second Order with Conormal Boundary Condition.
Peter Weidemaier (1988)
Mathematische Zeitschrift
Dagmar Medková (1998)
Mathematica Bohemica
Necessary and sufficient conditions are given for the reflected Cauchy's operator (the reflected double layer potential operator) to be continuous as an operator from the space of all continuous functions on the boundary of the investigated domain to the space of all holomorphic functions on this domain (to the space of all harmonic functions on this domain) equipped with the topology of locally uniform convergence.
Eva Dontová, Miroslav Dont, Josef Král (1997)
Mathematica Bohemica
A mixed boundary value problem on a doubly connected domain in the complex plane is investigated. The solution is given in an integral form using reflection mapping. The reflection mapping makes it possible to reduce the problem to an integral equation considered only on a part of the boundary of the domain.
Eva Dontová (1988)
Časopis pro pěstování matematiky
Eva Dontová (1988)
Časopis pro pěstování matematiky
Yang Xing (1993)
Mathematica Scandinavica
Nedra Belhaj Rhouma, Mounir Bezzarga (2004)
Commentationes Mathematicae Universitatis Carolinae
We consider a semidynamical system . We introduce the cone of continuous additive functionals defined on and the cone of regular potentials. We define an order relation “” on and a specific order “” on . We will investigate the properties of and and we will establish the relationship between the two cones.
Caffarelli, Luis A., Karp, Lavi, Shahgholian, Henrik (2000)
Annals of Mathematics. Second Series
Tadeusz Iwaniec, Juan J. Manfredi (1989)
Revista Matemática Iberoamericana
Dashan Fan, Shanzhen Lu, Dachun Yang (1998)
Publicacions Matemàtiques
In this paper, the authors introduce a kind of local Hardy spaces in Rn associated with the local Herz spaces. Then the authors investigate the regularity in these local Hardy spaces of some nonlinear quantities on superharmonic functions on R2. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper.
David Monn (1986)
Mathematische Annalen
W. Hansen, I. Netuka (1990)
Journal für die reine und angewandte Mathematik
Krzysztof Bogdan, Bartłomiej Dyda (2003)
Studia Mathematica
For domains we give exact asymptotics near the domain’s boundary for the Green function and Martin kernel of the rotation invariant α-stable Lévy process. We also obtain a relative Fatou theorem for harmonic functions of the stable process.
Biroli, M., Tchou, N. (2000)
Zeitschrift für Analysis und ihre Anwendungen
Dagmar Medková (1984)
Časopis pro pěstování matematiky
Kai Lai Chung (1975)
Annales de l'institut Fourier
This note discusses to problem of the minimization of energy by the equilibrium measure obtained by the method of last exit in reference Ann. Inst. Fourier, 23-3 (1973), 313–322.
Bent Fuglede (1974)
Mathematische Annalen
Le Mau Hai, Nguyen Quang Dieu, Tang Van Long (2004)
Annales Polonici Mathematici
The aim of the paper is to establish some results on pluripolar hulls and to define pluripolar hulls of certain graphs.
H. Brézis, G. Stampacchia (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Duong Ngoc Son (2006)
Publicacions Matemàtiques
We prove that the subharmonic envelope of a lower semicontinuous function on Omega is harmonic on a certain open subset of Omega, using a very classical method in potential theory. The result gives simple proofs of theorems on harmonic measures and Jensen measures obtained by Cole and Ransford.