Semiclassical measure for the solution of the Helmholtz equation with an unbounded source

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. 1. Statement of the result We consider on R n the Helmholtz equation

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