On the Case of Equalities in Comparison Results for Parabolic Equations Related to Gauss Measure |
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| Authors: | Yujuan Tian Fengquan Li |
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| Institution: | 1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China
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| 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. |
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