LEADER 03216nam 2200613 450 001 996466376303316 005 20220213141553.0 010 $a3-540-48151-6 024 7 $a10.1007/BFb0074088 035 $a(CKB)1000000000437163 035 $a(SSID)ssj0000322649 035 $a(PQKBManifestationID)12124893 035 $a(PQKBTitleCode)TC0000322649 035 $a(PQKBWorkID)10305706 035 $a(PQKB)10866971 035 $a(DE-He213)978-3-540-48151-5 035 $a(MiAaPQ)EBC5610290 035 $a(Au-PeEL)EBL5610290 035 $a(OCoLC)1078989840 035 $a(MiAaPQ)EBC6866159 035 $a(Au-PeEL)EBL6866159 035 $a(PPN)155199021 035 $a(EXLCZ)991000000000437163 100 $a20220213d1993 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aDirichlet forms $electures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992 /$fE. Fabes [and five others] ; editors, G. Dell'Antonio, U. Mosco 205 $a1st ed. 1993. 210 1$aBerlin :$cSpringer-Verlag,$d[1993] 210 4$dİ1993 215 $a1 online resource (VIII, 252 p.) 225 1 $aC.I.M.E. Foundation Subseries ;$v1563 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-57421-2 327 $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. 330 $aThe theory of Dirichlet forms has witnessed recently some very important developments both in theoretical foundations and in applications (stochasticprocesses, quantum field theory, composite materials,...). It was therefore felt timely to have on this subject a CIME school, in which leading experts in the field would present both the basic foundations of the theory and some of the recent applications. The six courses covered the basic theory and applications to: - Stochastic processes and potential theory (M. Fukushima and M. Roeckner) - Regularity problems for solutions to elliptic equations in general domains (E. Fabes and C. Kenig) - Hypercontractivity of semigroups, logarithmic Sobolev inequalities and relation to statistical mechanics (L. Gross and D. Stroock). The School had a constant and active participation of young researchers, both from Italy and abroad. 410 0$aC.I.M.E. Foundation Subseries ;$v1563 606 $aDirichlet forms 615 0$aDirichlet forms. 676 $a510 700 $aFabes$b E. B.$0492549 702 $aDell'Antonio$b G. F.$f1933- 702 $aMosco$b U$g(Umberto), 712 02$aCentro internazionale matematico estivo. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466376303316 996 $aDirichlet forms$92831408 997 $aUNISA