m

F Nous contacter

0

Documents  Galkowski, Jeffrey | enregistrements trouvés : 3

O
     

-A +A

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Partial Differential Equations;Mathematical Physics

We prove a quantum Sabine law for the location of resonances in transmission problems. In this talk, our main applications are to scattering by strictly convex, smooth, transparent obstacles and highly frequency dependent delta potentials. In each case, we give a sharp characterization of the resonance free regions in terms of dynamical quantities. In particular, we relate the imaginary part of resonances to the chord lengths and reflectivity coefficients for the ray dynamics and hence give a quantum version of the Sabine law from acoustics. We prove a quantum Sabine law for the location of resonances in transmission problems. In this talk, our main applications are to scattering by strictly convex, smooth, transparent obstacles and highly frequency dependent delta potentials. In each case, we give a sharp characterization of the resonance free regions in terms of dynamical quantities. In particular, we relate the imaginary part of resonances to the chord lengths and reflectivity ...

35P25 ; 35B34 ; 35Q40

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks

This talk is a continuation of ‘Understanding the growth of Laplace eigenfunctions’. We explain the method of geodesic beams in detail and review the development of these techniques in the setting of defect measures. We then describe the tools and give example applications in concrete geometric settings.

58C40 ; 35P20

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- ix; 152 p.
ISBN 978-1-4704-3572-1

Memoirs of the American Mathematical Society , 1248

Localisation : Collection 1er étage

problème de transmission # potentiel de couche # opérateur de couche # haute fréquence # résonance # théorie du potentiel # opérateur hypersingulier

35P20 ; 35P25 ; 31B10 ; 31B20 ; 31B35 ; 45C05 ; 47F05

... Lire [+]

Z