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Geometric properties of solutions to Elliptic PDE's in Gauss space and related Brunn-Minkowski type inequalities

2026-06-22 08:40:29

时间:2026年6月23日(星期二)15:00-16:30

地点:西湖大学云谷校区E14-212


主讲人:覃蕾 湖南大学

报告题目:Geometric properties of solutions to Elliptic PDE's in Gauss space and related Brunn-Minkowski type inequalities

报告摘要:Concavity properties of solutions to elliptic and parabolic equations, as well as related inequalities, have been extensively studied. In particular, in the parabolic case, the log-concavity of the heat kernel on convex domains plays a fundamental role. In this talk, I will present my recent work on the log-concavity of solutions to parabolic equations associated with the Ornstein-Uhlenbeck operator, carried out in Florence. This is joint work with Professors Andrea Colesanti and Paolo Salani.