J. Galkowski

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20112026

most citedRestriction Bounds for the Free Resolvent and Resonances in Lossy Scattering

34 citations · 193 across the 55 of their papers we have counts for

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Showing 2014 · math.APShow all

4 papers · 2 filters

math.AP2014★ 6 cited

Resonances for Thin Barriers on the Circle

Jeffrey Galkowski

We study high energy resonances for the operator $- Δ_{V, \partial Ω} := - Δ + δ_{\partial Ω} \otimes V$ when $V$ has strong frequency dependence. The operator $- Δ_{V, \partial Ω}$ is a Hamil…

math.AP2014

Distribution of Resonances in Scattering by Thin Barriers

Jeffrey Galkowski

We study high energy resonances for the operators $- Δ + δ_{\partial Ω} \otimes V$ and $- Δ + δ_{\partial Ω}^{'} \otimes V \partial_{ν}$ where $Ω$ is strictly convex with smooth boundary, $V:L^2(\…

math.AP2014★ 1 cited

Sharp norm estimates of layer potentials and operators at high frequency

Jeffrey Galkowski, Xiaolong Han, Melissa Tacy

In this paper, we investigate single and double layer potentials mapping boundary data to interior functions of a domain at high frequency $λ^{2} \to \infty$ . For single layer potentia…

math.AP2014★ 34 cited

Restriction Bounds for the Free Resolvent and Resonances in Lossy Scattering

Jeffrey Galkowski, Hart Smith

We establish high energy $L^{2}$ estimates for the restriction of the free Green's function to hypersurfaces in $R^{d}$ . As an application, we estimate the size of a logarithm…