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Dirichlet Forms

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992

  • Book
  • © 1993

Overview

Authors:
  1. Eugene Fabes
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  2. Masatoshi Fukushima
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  3. Leonard Gross
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  4. Carlos Kenig
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  5. Michael Röckner
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  6. Daniel W. Stroock
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Editors:
  1. Gianfausto Dell'Antonio
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  2. Umberto Mosco
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1563)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-V
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  2. Gaussian upper bounds on fundamental solutions of parabolic equations; the method of nash

    • E. B. Fabes
    Pages 1-20

  3. Two topics related to Dirichlet forms: quasi everywhere convergences and additive functionals

    • Masatoshi Fukushima
    Pages 21-53

  4. Logarithmic Sobolev inequalities and contractivity properties of semigroups

    • Leonard Gross
    Pages 54-88

  5. Potential theory of non-divergence form elliptic equations

    • Carlos E. Kenig
    Pages 89-128

  6. General theory of Dirichlet forms and applications

    • Michael Röckner
    Pages 129-193

  7. Logarithmic Sobolev inequalities for gibbs states

    • Daniel W. Stroock
    Pages 194-228

  8. Back Matter

    Pages 229-248
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Keywords

About this book

The theory of Dirichlet forms has witnessed recently some very important developments both in theoretical foundations and in applications (stochasticprocesses, quantum field theory, composite materials,...). It was therefore felt timely to have on this subject a CIME school, in which leading experts in the field would present both the basic foundations of the theory and some of the recent applications. The six courses covered the basic theory and applications to: - Stochastic processes and potential theory (M. Fukushima and M. Roeckner) - Regularity problems for solutions to elliptic equations in general domains (E. Fabes and C. Kenig) - Hypercontractivity of semigroups, logarithmic Sobolev inequalities and relation to statistical mechanics (L. Gross and D. Stroock). The School had a constant and active participation of young researchers, both from Italy and abroad.

Bibliographic Information

  • Book Title: Dirichlet Forms

  • Book Subtitle: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992

  • Authors: Eugene Fabes, Masatoshi Fukushima, Leonard Gross, Carlos Kenig, Michael Röckner, Daniel W. Stroock

  • Editors: Gianfausto Dell'Antonio, Umberto Mosco

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0074088

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • Softcover ISBN: 978-3-540-57421-7Published: 20 December 1993

  • eBook ISBN: 978-3-540-48151-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 252

  • Topics: Probability Theory and Stochastic Processes, Analysis

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