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 / by Eugene Fabes, Masatoshi Fukushima, Leonard Gross, Carlos Kenig, Michael Röckner, Daniel W. Stroock ; edited by Gianfausto Dell'Antonio, Umberto Mosco.

Format:

Book

Author/Creator:

Fabes, E. B., author.

Fukushima, Masatoshi, 1935- author.

Gross, Leonard, author.

Kenig, Carlos, author.

Röckner, Michael, 1956- author.

Stroock, Daniel W., author.

Contributor:

Dell'Antonio, G. F., 1933- editor.

Mosco, U. (Umberto), editor.

SpringerLink (Online service)

Series:

Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries ; 1563.

C.I.M.E. Foundation Subseries ; 1563

Language:

English

Subjects (All):

Distribution (Probability theory).

Global analysis (Mathematics).

Probability Theory and Stochastic Processes.

Analysis.

Local Subjects:

Probability Theory and Stochastic Processes.

Analysis.

Physical Description:

1 online resource (VIII, 252 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.

System Details:

text file PDF

Summary:

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.

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.

Other Format:

Printed edition:

ISBN:

9783540481515

Access Restriction:

Restricted for use by site license.