A factorization method for an inverse Neumann problem for harmonic vector fields.
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Kress, R. (2003)
Georgian Mathematical Journal
Chakrabarti, A., Manna, D.P. (1994)
International Journal of Mathematics and Mathematical Sciences
Neil A. Watson (2005)
Mathematica Bohemica
A generalization of Nevanlinna’s First Fundamental Theorem to superharmonic functions on Green balls is proved. This enables us to generalize many other theorems, on the behaviour of mean values of superharmonic functions over Green spheres, on the Hausdorff measures of certain sets, on the Riesz measures of superharmonic functions, and on differences of positive superharmonic functions.
F. Cérou, P. Del Moral, A. Guyader (2011)
Annales de l'I.H.P. Probabilités et statistiques
We present a nonasymptotic theorem for interacting particle approximations of unnormalized Feynman–Kac models. We provide an original stochastic analysis-based on Feynman–Kac semigroup techniques combined with recently developed coalescent tree-based functional representations of particle block distributions. We present some regularity conditions under which the -relative error of these weighted particle measures grows linearly with respect to the time horizon yielding what seems to be the first...
Ileana Iribarren (2001)
Collectanea Mathematica
The density of the area integral for parabolic functions is defined in analogy with the case of harmonic functions. We prove its equivalence with the local time of the associated martingale. Using probabilistic methods, we show its equivalence in L p -norm with the parabolic area function for p>1.
Maria Alessandra Ragusa, Pietro Zamboni (2001)
Czechoslovak Mathematical Journal
In this paper is proved a weighted inequality for Riesz potential similar to the classical one by D. Adams. Here the gain of integrability is not always algebraic, as in the classical case, but depends on the growth properties of a certain function measuring some local potential of the weight.
Josef Král, Dagmar Medková (1995)
Czechoslovak Mathematical Journal
Watson, Neil A. (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Gianni Dal Maso, François Murat (2004)
Annales de l'I.H.P. Analyse non linéaire
Duduchava, R., Natroshvili, D., Shargorodsky, E. (1995)
Georgian Mathematical Journal
Duduchava, R., Natroshvili, D., Shargorodsky, E. (1995)
Georgian Mathematical Journal
Stephan Dahlke (1998)
Manuscripta mathematica
Fulvio Ricci, Mitchell Taibleson (1983)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Dagmar Medková (2005)
Czechoslovak Mathematical Journal
A necessary and sufficient condition for the boundedness of a solution of the third problem for the Laplace equation is given. As an application a similar result is given for the third problem for the Poisson equation on domains with Lipschitz boundary.
S. Bernstein, P. Cerejeiras (2007)
Studia Mathematica
We present necessary and sufficient conditions for a measure to be a p-Carleson measure, based on the Poisson and Poisson-Szegő kernels of the n-dimensional unit ball.
Jaroslav Lukeš, Ivan Netuka, Jiří Veselý (2000)
Pokroky matematiky, fyziky a astronomie
Dagmar Medková (2003)
Czechoslovak Mathematical Journal
A necessary and sufficient condition for the continuous extendibility of a solution of the Neumann problem for the Laplace equation is given.
Dagmar Medková (2003)
Czechoslovak Mathematical Journal
A necessary and sufficient condition for the continuous extendibility of a solution of the third problem for the Laplace equation is given.
Kirejtov, V.R. (2000)
Siberian Mathematical Journal
Appell (1887)
Journal de Mathématiques Pures et Appliquées
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