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

The theory of Dirichlet forms has witnessed recently somevery important developments both in theoretical foundationsand in applications (stochasticprocesses, quantum fieldtheory, composite materials,...). It was therefore felttimely to have on this subject a CIME school, in whichleading experts in the field would present both the basicfoundations of the theory and some of the recentapplications. The six courses covered the basic theory andapplications to:- Stochastic processes and potential theory (M. Fukushimaand M. Roeckner)- Regularity problems for solutions to elliptic equations ingeneral domains (E. Fabes and C. Kenig)- Hypercontractivity of semigroups, logarithmic Sobolevinequalities and relation to statistical mechanics (L. Grossand D. Stroock).The School had a constant and active participation of youngresearchers, both from Italy and abroad.

List 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.

Product details

• Authors: E. Fabes, M. Fukushima, L. Gross, C. Kenig, M. Röckner, D. W. Stroock, D.W. Stroock
• Assisted by: Gianfausto Dell'Antonio (Editor), Gianfausto (Hrsg.) Dell'Antonio (Editor), Umberto Mosco (Editor), Umberto (Hrsg.) Mosco (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.1993
• EAN: 9783540574217
• ISBN: 978-3-540-57421-7
• No. of pages: 260
• Dimensions: 155 mm x 235 mm x 14 mm
• Weight: 398 g
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics, Volume 1563; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics