Potential Theory and Degenerate Partial Differential Operators by Marco BiroliPotential Theory and Degenerate Partial Differential Operators by Marco Biroli

Potential Theory and Degenerate Partial Differential Operators

byMarco Biroli

Paperback | October 4, 2012

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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.
Title:Potential Theory and Degenerate Partial Differential OperatorsFormat:PaperbackDimensions:185 pagesPublished:October 4, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401040427

ISBN - 13:9789401040426


Table of Contents

Foreword. Sobolev inequalities on homogeneous spaces; M. Biroli, U. Mosco. Regularity for solutions of quasilinear elliptic equations under minimal assumption; F. Chiarenza. Dimensions at infinity for Riemannian manifolds; T. Coulhon. On infinite dimensional sheets; D. Feyel, A. de la Pradelle. Weighted Poincaré inequalities for Hömander vector fields and local regularity for a class of degenerate elliptic equations; B. Franchi, et al. Reflecting diffusions on Lipschitz domains with cups - analytic construction and Skorohod representation; M. Fukushima, M. Tomisaki. Fermabilité des formes de Dirichlet et inégalité de type Poincaré; G. Mokobodzki. Comparison Hölderienne des distances sous-elliptiques et calcul S(m,g); S. Mustapha, N. Varopoulos. Parabolic Harnack inequality for divergence form second order differential operators; L. Saloff-Coste. Recenti risultata sulle teoria degli operatori vicini; S. Campanato. Existence of bounded solutions for some degenerated quasilinear elliptic equations; P. Drábek, F. Nicolosi.