Tuesday, February 5, 2013

1302.0811 (Julien Royer)

Semiclassical measure for the solution of the Helmholtz equation with an
unbounded source
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Julien Royer
We study the high frequency limit for the dissipative Helmholtz equation when the source term concentrates on a submanifold of R^n. We prove that the solution has a unique semi-classical measure, which is precisely described in terms of the classical properties of the problem. This result is already known when the micro-support of the source is bounded, we now consider the general case.
View original: http://arxiv.org/abs/1302.0811

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