Article ID Journal Published Year Pages File Type
5024567 Nonlinear Analysis: Theory, Methods & Applications 2017 13 Pages PDF
Abstract
In this paper, under the generalized curvature-dimension inequality recently introduced by F. Baudoin and N. Garofalo, we obtain differential Harnack inequalities (Theorem 2.1) for the positive solutions to the Schrödinger equation associated to subelliptic operator with potential. As applications of the differential Harnack inequality, we derive the corresponding parabolic Harnack inequality (Theorem 4.1). Also we define the Perelman type entropy associated to subelliptic operators and derive its monotonicity (Theorem 5.3).
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Physical Sciences and Engineering Engineering Engineering (General)
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