Sequence solutions of the Dirichlet problem
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Displaying 1 – 11 of 11
Singular and Quasi-Bounded Functions Associated with the Heat Equation.
J.H. Chabrowski, H.B. Thompson (1988)
Mathematische Zeitschrift
Some properties of α-harmonic measure
Dimitrios Betsakos (2008)
Colloquium Mathematicae
The α-harmonic measure is the hitting distribution of symmetric α-stable processes upon exiting an open set in ℝⁿ (0 < α < 2, n ≥ 2). It can also be defined in the context of Riesz potential theory and the fractional Laplacian. We prove some geometric estimates for α-harmonic measure.
Some uses of subharmonicity in functional analysis
Bernard Aupetit (1982)
Banach Center Publications
Strutture subriemanniane in alcuni problemi di Analisi
Ermanno Lanconelli (2005)
Bollettino dell'Unione Matematica Italiana
Vengono presentati alcuni problemi, idee e tecniche sorte nell'ambito della teoria delle equazioni alle derivate parziali del secondo ordine, con forma caratteristica semidefinita positiva e con soggiacenti strutture sub-riemanniane. Se ne traccia lo sviluppo a partire dalla classica teoria delle funzioni armoniche e caloriche, attraverso la teoria del potenziale negli spazi armonici astratti e la teoria della regolarità locale delle soluzioni.
Subharmonic functions in sub-Riemannian settings
Andrea Bonfiglioli, Ermanno Lanconelli (2013)
Journal of the European Mathematical Society
In this paper we furnish mean value characterizations for subharmonic functions related to linear second order partial differential operators with nonnegative characteristic form, possessing a well-behaved fundamental solution . These characterizations are based on suitable average operators on the level sets of . Asymptotic characterizations are also considered, extending classical results of Blaschke, Privaloff, Radó, Beckenbach, Reade and Saks. We analyze as well the notion of subharmonic function...
Subharmonic Functions on Real and Complex Manifolds.
Leon Karp (1982)
Mathematische Zeitschrift
Sur la convergence radiale des potentiels associés à l'équation de Helmholtz
Alano Ancona, Nicolas Chevallier (2000)
Bulletin de la Société Mathématique de France
Sur la théorie fine du potentiel
Denis Feyel (1983)
Bulletin de la Société Mathématique de France
Sur l'harmonicité des fonctions séparément harmoniques
Vazgain Avanissian (1967)
Séminaire de probabilités de Strasbourg
Surfaces of minimum capacity for a knot
Luis A. Caffarelli (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Currently displaying 1 – 11 of 11
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