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Indexed by:期刊论文

Date of Publication:2012-01-01

Journal:POTENTIAL ANALYSIS

Included Journals:SCIE

Volume:36

Issue:1

Page Number:177-202

ISSN No.:0926-2601

Key Words:Comparison results; Equalities; Rearrangements; Gauss measure; Parabolic equation

Abstract:We deal with linear parabolic equations related to Gauss measure. Firstly, we study the case of equalities in some comparison results proved by other authors and show that equalities are achieved only in the "symmetrized" situations. Secondly, under other assumptions, we obtain a different form of comparison results and discuss the corresponding case of equalities.