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- W4300644993 abstract "We study the high frequency limit for a non-dissipative Helmholtz equation. We first prove the absence of eigenvalue on the upper half-plane and close to an energy which satisfies a weak damping assumption on trapped trajectories. Then we generalize to this setting the resolvent estimates of Robert-Tamura and prove the limiting absorption principle. We finally study the semiclassical measures of the solution when the source term concentrates on a bounded submanifold of R^n." @default.
- W4300644993 created "2022-10-03" @default.
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- W4300644993 date "2011-03-20" @default.
- W4300644993 modified "2023-09-25" @default.
- W4300644993 title "Uniform resolvent estimates for a non-dissipative Helmholtz equation" @default.
- W4300644993 doi "https://doi.org/10.48550/arxiv.1103.3868" @default.
- W4300644993 hasPublicationYear "2011" @default.
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