46 citations · 144 across the 25 of their papers we have counts for
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math-ph2009★ 5 cited
Semiclassical measure for the solution of the dissipative Helmholtz equation
Julien Royer
We study the semiclassical measures for the solution of a dissipative Helmholtz equation with a source term concentrated on a bounded submanifold. The potential is not assumed to b…
math.AP2009★ 46 cited
Limiting absorption principle for the dissipative Helmholtz equation
Julien Royer
Adapting Mourre's commutator method to the dissipative setting, we prove a limiting absorption principle for a class of abstract dissipative operators. A consequence is the resolve…