Journal of East China Normal University(Natural Sc ›› 2012, Vol. 2012 ›› Issue (4): 36-42.

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Harnack estimate for the Schrodinger equation under Ricci flow

WANG Jian-Hong 1,2   

  1. 1.Department of Mathematics, Huangshan University, Anhui 245041, China; 2.Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2011-06-01 Revised:2011-09-01 Online:2012-07-25 Published:2014-12-15

Abstract: This paper established the gradient estimate and Harnack inequalities of the Schrodinger equation when the metric is evolved by Ricci flow, and extended the results ofthe heat equation by C.M.Guenther

Key words: Schrodinger equation, gradient estimate, Harnack inequalities, Ricci flow

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