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020 _a9783540481515
_9978-3-540-48151-5
024 7 _a10.1007/BFb0074088
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
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072 7 _aMAT029000
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082 0 4 _a519.2
_223
100 1 _aFabes, Eugene.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDirichlet Forms
_h[electronic resource] :
_bLectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, June 8–19, 1992 /
_cby Eugene Fabes, Masatoshi Fukushima, Leonard Gross, Carlos Kenig, Michael Röckner, Daniel W. Stroock ; edited by Gianfausto Dell'Antonio, Umberto Mosco.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1993.
300 _aVIII, 252 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries ;
_v1563
505 0 _aGaussian 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.
520 _aThe 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.
650 0 _aDistribution (Probability theory.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
700 1 _aFukushima, Masatoshi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aGross, Leonard.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aKenig, Carlos.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aRöckner, Michael.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aStroock, Daniel W.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aDell'Antonio, Gianfausto.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aMosco, Umberto.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662183885
776 0 8 _iPrinted edition:
_z9783540574217
830 0 _aC.I.M.E. Foundation Subseries ;
_v1563
856 4 0 _uhttps://doi.org/10.1007/BFb0074088
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
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