caa a22 4500 467949646 CHVBK 20180405193741.0 cr unu---uuuuu 170328e20050201xx s 000 0 eng 10.1007/s11118-004-6456-4 doi (NATIONALLICENCE)springer-10.1007/s11118-004-6456-4 (NATIONALLICENCE)springer-10.1007/s11118-003-6456-9 Kawabi Hiroshi Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1, Komaba, Meguro-ku, 153-8914, Tokyo, Japan aut The Parabolic Harnack Inequality for the Time Dependent Ginzburg-Landau Type SPDE and its Application [Elektronische Daten] [Hiroshi Kawabi] The main purpose of this paper is to establish the parabolic Harnack inequality for the transition semigroup associated with the time dependent Ginzburg-Landau type stochastic partial differential equation (=SPDE, in abbreviation). In view of quantum field theory, this dynamics is called a P(φ)1-time evolution. We prove the main result by adopting a stochastic approach which is different from Bakry-Emery's Γ2-method. As an application of our result, we study some estimates on the transition probability for our dynamics. We also discuss the Varadhan type asymptotics. Springer, 2005 SPDE nationallicence parabolic Harnack inequality nationallicence gradient estimate nationallicence Varadhan type small time asymptotics nationallicence Potential Analysis Kluwer Academic Publishers 22/1(2005-02-01), 61-84 0926-2601 22:1<61 2005 22 11118 https://doi.org/10.1007/s11118-004-6456-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11118-004-6456-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kawabi Hiroshi Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1, Komaba, Meguro-ku, 153-8914, Tokyo, Japan aut NATIONALLICENCE 773 0- Potential Analysis Kluwer Academic Publishers 22/1(2005-02-01), 61-84 0926-2601 22:1<61 2005 22 11118 NATIONALLICENCE 856 40 https://doi.org/10.1007/s11118-003-6456-9 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer