Potential Theory and Degenerate Partial Differential Operators

<em>Nachdrucked, with additional material, from POTENTIAL ANALYSIS 4:4</em> 1995
ISBN: 978-0-7923-3596-2
Verlag: Springer Netherlands

Buch, Englisch, 185 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1000 g

Recent years have witnessed an increasingly close relationship growing between potential theory, probability and degenerate partial differential operators. The theory of Dirichlet (Markovian) forms on an abstract finite or infinite-dimensional space is common to all three disciplines. This is a fascinating and important subject, central to many of the contributions to the conference on `Potential Theory and Degenerate Partial Differential Operators', held in Parma, Italy, February 1994.

Zielgruppe

Research

Autoren/Hrsg.

Biroli, Marco

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder

Inhaltsverzeichnis

Sobolev Inequalities on Homogeneous Spaces.- Regularity for Solutions of Quasilinear Elliptic Equations under Minimal Assumptions.- Dimensions at Infinity for Riemannian Manifolds.- On Infinite Dimensional Sheets.- Weighted Poincaré Inequalities for Hörmander Vector Fields and Local Regularity for a Class of Degenerate Elliptic Equations.- Reflecting Diffusions on Lipschitz Domains with Cusps — Analytic Construction and Skorohod Representation.- Fermabilité des formes de Dirichlet et inégalité de type Poincaré.- Comparaison Hölderienne des distances sous-elliptiques et calcul S (m,g).- Parabolic Harnack Inequality for Divergence Form Second Order Differential Operators.- Recenti risultati sulla teoria degli operatori vicini.- Existence of Bounded Solutions for Some Degenerated Quasilinear Elliptic Equations.