Potential Theory and Degenerate Partial Differential Operators

Potential Theory and Degenerate Partial Differential Operators

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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.
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Product details

  • Hardback | 185 pages
  • 156 x 233.9 x 14.2mm | 453.6g
  • Dordrecht, Netherlands
  • English
  • Reprinted, with additional material, from POTENTIAL ANALYSIS 4:4, 1995
  • III, 185 p.
  • 0792335961
  • 9780792335962

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 Poincare inequalities for Hoemander 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. Fermabilite des formes de Dirichlet et inegalite de type Poincare; G. Mokobodzki. Comparison Hoelderienne 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. Drabek, F. Nicolosi.
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