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Displaying 181 – 200 of 700

Equality cases in the symmetrization inequalities for Brownian transition functions and Dirichlet heat kernels.

Betsakos, Dimitrios (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

Equivalence of weak and viscosity solutions to the $p$ -Laplace equation in the Heisenberg group.

Bieske, Thomas (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

Equivalent Norms on L... Spaces of Harmonic Functions.

Daniel H. Luecking (1983)

Monatshefte für Mathematik

Espaces de Dirichlet et capacités fonctionnelles sur des triplets de Hilbert Schmidt

Philippe Paclet (1977/1978)

Séminaire Paul Krée

Espaces harmoniques sans potentiel positif

Victor Anandam (1972)

Annales de l'institut Fourier

Dans cet article on étudie les fonctions surharmoniques dans un espace $Ω$ muni de la théorie axiomatique des fonctions harmoniques avec les axiomes 1, 2, 3 de M. Brelot, en supposant que les constantes sont harmoniques dans $Ω$ et qu’il n’existe pas de potentiel $> 0$ dans $Ω$ . Ainsi, dans la théorie axiomatique, on se propose de chercher à étendre les particularités du cas plan et quelques résultats sur les surfaces de Riemann du type parabolique. On démontre premièrement, en utilisant une notion de flux...

Essential norms of a potential theoretic boundary integral operator in $L^{1}$

Josef Král, Dagmar Medková (1998)

Mathematica Bohemica

Let $G \subset ℝ^{m}$ $(m \geq 2)$ be an open set with a compact boundary $B$ and let $σ \geq 0$ be a finite measure on $B$ . Consider the space $L^{1} (σ)$ of all $σ$ -integrable functions on $B$ and, for each...

Essential norms of the Neumann operator of the arithmetical mean

Josef Král, Dagmar Medková (2001)

Mathematica Bohemica

Let $K \subset ℝ^{m}$ ( $m \geq 2$ ) be a compact set; assume that each ball centered on the boundary $B$ of $K$ meets $K$ in a set of positive Lebesgue measure. Let $C_{0}^{(1)}$ be the class of all continuously differentiable real-valued functions with compact support in $ℝ^{m}$ and denote by $σ_{m}$ the area of the unit sphere in $ℝ^{m}$ . With each $ϕ \in C_{0}^{(1)}$ we associate the function $W_{K} ϕ (z) = \frac{1}{σ_{m}} \underset{ℝ^{m} ∖ K}{\to} \int g r a d ϕ (x) \cdot \frac{z - x}{{| z - x |}^{m}} x$ of the variable $z \in K$ (which is continuous in $K$ and harmonic in $K ∖ B$ ). $W_{K} ϕ$ depends only on the restriction ${ϕ |}_{B}$ of $ϕ$ to the boundary $B$ of $K$ . This gives rise to a linear operator $W_{K}$ acting from...

Estimate for gradient, bmo and Lindelöf theorem

M. Mateljević (1995)

Publications de l'Institut Mathématique

Estimates for derivatives of the Green functions on homogeneous manifolds of negative curvature.

Urban, R. (2004)

Acta Mathematica Universitatis Comenianae. New Series

Estimates for the Green function and existence of positive solutions for higher-order elliptic equations.

Bachar, Imed (2006)

Abstract and Applied Analysis

Estimates for the Poisson kernel on higher rank NA groups

Richard Penney, Roman Urban (2010)

Colloquium Mathematicae

We obtain an estimate for the Poisson kernel for the class of second order left-invariant differential operators on higher rank NA groups.

Estimates for the Poisson kernels and their derivatives on rank one NA groups

Ewa Damek, Andrzej Hulanicki, Jacek Zienkiewicz (1997)

Studia Mathematica

For rank one solvable Lie groups of the type NA estimates for the Poisson kernels and their derivatives are obtained. The results give estimates on the Poisson kernel and its derivatives in a natural parametrization of the Poisson boundary (minus one point) of a general homogeneous, simply connected manifold of negative curvature.

Estimates of Green functions and harmonic measures for elliptic operators with singular drift terms.

Abdoul Ifra, Lofti Riahi (2005)

Publicacions Matemàtiques

Estimates of Green functions and their applications for parabolic operators with singular potentials

Lotfi Riahi (2003)

Colloquium Mathematicae

We prove global pointwise estimates for the Green function of a parabolic operator with potential in the parabolic Kato class on a $C^{1, 1}$ cylindrical domain Ω. We apply these estimates to obtain a new and shorter proof of the Harnack inequality [16], and to study the boundary behavior of nonnegative solutions.

Estimates of $M$ -harmonic conjugate operator.

Lee, Jaesung, Rim, Kyung Soo (2010)

Journal of Inequalities and Applications [electronic only]

Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition.

Krutitskii, Pavel A. (2001)

International Journal of Mathematics and Mathematical Sciences

Exact solutions to some external mixed problems in potential theory

Valery I. Fabrikant (1986)

Aplikace matematiky

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...

Currently displaying 181 – 200 of 700