A remark on the semi-classical measure from with a degenerate potential

Author:
Yifeng Yu

Journal:
Proc. Amer. Math. Soc. **135** (2007), 1449-1454

MSC (2000):
Primary 35P20

DOI:
https://doi.org/10.1090/S0002-9939-06-08702-8

Published electronically:
November 13, 2006

MathSciNet review:
2276654

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Abstract | References | Similar Articles | Additional Information

Abstract: This note is motivated by Evans (2004) and Anantharaman (2004). We study the semiclassical measure arising from the operator when the potential has degenerate minimum points. We will use the technique of integration by parts and some identities of Evans to derive information on the support of the measure.

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Additional Information

**Yifeng Yu**

Affiliation:
Department of Mathematics, University of Texas at Austin, Austin, Texas 78712

Email:
yifengyu@math.berkeley.edu

DOI:
https://doi.org/10.1090/S0002-9939-06-08702-8

Received by editor(s):
December 19, 2005

Published electronically:
November 13, 2006

Communicated by:
Mikhail Shubin

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.