A factorization method for an inverse Neumann problem for harmonic vector fields.
A mixed boundary value problem for Laplace's equation involving a nearly circular disk.
A Nevanlinna theorem for superharmonic functions on Dirichlet regular Greenian sets
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.
A nonasymptotic theorem for unnormalized Feynman–Kac particle models
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...
A note on the density of the parabolic area integral.
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.
A potential theoretic inequality
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.
Angular limits of double layer potentials
Applications of geometric measure theory to the study of Gauss- Weierstrass and Poisson integrals.
Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I.
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II.
Besov Regularity for Second Order Elliptic Boundary Value Problems with Variable Coefficients.
Boundary values of harmonic functions in mixed norm spaces and their atomic structure
Boundedness of the solution of the third problem for the Laplace equation
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.
Carleson measure and monogenic functions
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.
Choquetova teorie a Dirichletova úloha
Continuous extendibility of solutions of the Neumann problem for the Laplace equation
A necessary and sufficient condition for the continuous extendibility of a solution of the Neumann problem for the Laplace equation is given.
Continuous extendibility of solutions of the third problem for the Laplace equation
A necessary and sufficient condition for the continuous extendibility of a solution of the third problem for the Laplace equation is given.
Corrections to the article “The multivelocity Peierls potential in the problem of refining the classical fundamental acoustic potential near the source of sound in a homogeneous Maxwellian gas”.
Développements en séries trigonométriques de certaines fonctions périodiques vérifiant l’équation