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.

Fabes, Eugene

ISBN 10: 3540574212 / ISBN 13: 9783540574217

Editore: Berlin, Springer, 1993

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Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01576 3540574212 Sprache: Englisch Gewicht in Gramm: 550.

Codice articolo 2485449

Dati bibliografici

• Titolo: 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.
• Editore: Berlin, Springer
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 3540574212
• ISBN 13: 9783540574217
• Rilegatura: Softcover
• Peso: 550 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

Riassunto

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.

Contenuti

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.