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Potential Theory and Degenerate Partial Differential Operators

  • Book
  • © 1995

Overview

Editors:
  1. Marco Biroli

    1. Department of Mathematics, Politecnico di Milano, Milano, Italy

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-310
    Download chapter PDF

  2. Sobolev Inequalities on Homogeneous Spaces

    • Marco Biroli, Umberto Mosco
    Pages 311-324

  3. Regularity for Solutions of Quasilinear Elliptic Equations Under Minimal Assumptions

    • Filippo Chiarenza
    Pages 325-334

  4. Dimensions at Infinity for Riemannian Manifolds

    • Thierry Coulhon
    Pages 335-344

  5. On Infinite Dimensional Sheets

    • Denis Feyel, Arnaud de La Pradelle
    Pages 345-359

  6. Weighted Poincaré Inequalities for Hörmander Vector Fields and local regularity for a class of degenerate elliptic equations

    • B. Franchi, G. Lu, R. L. Wheeden
    Pages 361-375

  7. Reflecting Diffusions on Lipschitz Domains with Cusps -Analytic Construction and Skorohod Representation-

    • Masatoshi Fukushima, Matsuyo Tomisaki
    Pages 377-408

  8. Fermabilité des formes de Dirichlet et inégalité de type Poincaré

    • Gabriel Mokobodzki
    Pages 409-413

  9. Comparaison Hölderienne des distances sous-elliptiques et calcul S (m, g)

    • Sami Mustapha, Nicholas Varopoulos
    Pages 415-428

  10. Parabolic Harnack inequality for divergence form second order differential operators

    • L. Saloff-Coste
    Pages 429-467

  11. Recenti risultati sulla teoria degli operatori vicini

    • Sergio Campanato
    Pages 469-473

  12. Existence of Bounded Solutions for Some Degenerated Quasilinear Elliptic Equations

    • P. Drábek, F. Nicolosi
    Pages 475-493
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, Politecnico di Milano, Milano, Italy

    Marco Biroli

Bibliographic Information

  • Book Title: Potential Theory and Degenerate Partial Differential Operators

  • Editors: Marco Biroli

  • DOI: https://doi.org/10.1007/978-94-011-0085-4

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1995

  • Hardcover ISBN: 978-0-7923-3596-2Published: 31 October 1995

  • Softcover ISBN: 978-94-010-4042-6Published: 04 October 2012

  • eBook ISBN: 978-94-011-0085-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: III, 185

  • Topics: Potential Theory

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