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
Author:   E. Fabes ,  Gianfausto Dell'Antonio ,  M. Fukushima ,  Umberto Mosco
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1993 ed.
Volume:   1563
ISBN:  

9783540574217


Pages:   252
Publication Date:   20 December 1993
Format:   Paperback
Availability:   In Print   Availability explained
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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


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Overview

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.

Full Product Details

Author:   E. Fabes ,  Gianfausto Dell'Antonio ,  M. Fukushima ,  Umberto Mosco
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1993 ed.
Volume:   1563
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.820kg
ISBN:  

9783540574217


ISBN 10:   3540574212
Pages:   252
Publication Date:   20 December 1993
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Gaussian upper bounds on fundamental solutions of parabolic equations; the method of nash.- Two topics related to Dirichlet forms: quasi everywhere convergences and additive functionals.- Logarithmic Sobolev inequalities and contractivity properties of semigroups.- Potential theory of non-divergence form elliptic equations.- General theory of Dirichlet forms and applications.- Logarithmic Sobolev inequalities for gibbs states.

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