Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A remark on the semi-classical measure from ${-{h^2\over 2}\Delta +V}$ with a degenerate potential

Author(s): Yifeng Yu
Journal: Proc. Amer. Math. Soc. 135 (2007), 1449-1454.
MSC (2000): Primary 35P20
Posted: November 13, 2006
MathSciNet review: 2276654
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Abstract: This note is motivated by Evans (2004) and Anantharaman (2004). We study the semiclassical measure arising from the operator $P(h)=-{h^2\over 2}\Delta +V(x)$ 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.

References:

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