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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Y. Yu,
variational problems, Aronsson equations and weak KAM theory, Ph.D. dissertation, U.C. Berkeley(2005).
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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.