1.

Record Nr.

UNINA9910826193603321

Autore

Galkowski Jeffrey

Titolo

Distribution of resonances in scattering by thin barriers / / Jeffrey Galkowski

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2019]

©2019

ISBN

1-4704-5251-0

Descrizione fisica

1 online resource (ix, 152 pages) : illustrations

Collana

Memoirs of the American Mathematical Society ; ; Volume 259, Number 1248

Disciplina

515.724

Soggetti

Scattering (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"May 2019, volume 259, number 1248 (fifth of 8 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 149-152).

Sommario/riassunto

The author studies high energy resonances for the operators $-\Delta_{\partial\Omega,\delta}:=-\Delta \delta_{\partial\Omega}\otimes V\quad \textrm{and}\quad -\Delta_{\partial\Omega,\delta'}:=-\Delta \delta_{\partial\Omega}'\otimes V\partial_\nu$ where $\Omega\subset{\mathbb{R}}^{d}$ is strictly convex with smooth boundary, $V:L^{2}(\partial\Omega)\to L^{2}(\partial\Omega)$ may depend on frequency, and $\delta_{\partial\Omega}$ is the surface measure on $\partial\Omega$.