Poisson formulæ for resonances.

Maciej Zworski

Displaying similar documents to “Poisson formulæ for resonances.”

Sharp bounds for the number of the scattering poles

Georgi Vodev (1992)

Journées équations aux dérivées partielles

Similarity:

Reconstruction of Scattering Amplitudes From Differential Cross-Section

A. Martin (1974)

Recherche Coopérative sur Programme n°25

Similarity:

On eigenfunction expansions and scattering theory.

Günter Stolz, Thomas Poerschke (1993)

Mathematische Zeitschrift

Similarity:

Scattering problems in a domain with small holes.

V. Chiadò Piat, M. Codegone (2003)

RACSAM

Similarity:

In this paper, we consider a family of scattering problems in perforated unbounded domains Ω. We assume that the perforation is contained in a bounded region and that the holes have a ?critical? size. We study the asymptotic behaviour of the outgoing solutions of the steady-state scattering problem and we prove that an extra term appears in the limit equation. Finally, we obtain convergence results for scattering frequencies and solutions.

Singularities of the scattering kernel for non convex obstacles

Vesselin M. Petkov, Luchezar N. Stoyanov (1987)

Journées équations aux dérivées partielles

Similarity:

On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section

D. R. Yafaev (1988-1989)

Séminaire Équations aux dérivées partielles (Polytechnique)

Similarity:

Some problems in inverse scattering theory

Anders Melin (1987)

Journées équations aux dérivées partielles

Similarity:

The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation

D. R. Yafaev (1986)

Annales de l'I.H.P. Physique théorique

Similarity:

Recovering Asymptotics at Infinity of Perturbations of Stratified Media

Tanya Christiansen, Mark S. Joshi (2000)

Journées équations aux dérivées partielles

Similarity:

We consider perturbations of a stratified medium $ℝ_{x}^{n - 1} \times ℝ_{y}$ , where the operator studied is $c^{2} (x, y) Δ$ . The function $c$ is a perturbation of $c_{0} (y)$ , which is constant for sufficiently large $| y |$ and satisfies some other conditions. Under certain restrictions on the perturbation $c$ , we give results on the Fourier integral operator structure of the scattering matrix. Moreover, we show that we can recover the asymptotic expansion at infinity of $c$ from knowledge of $c_{0}$ and the singularities of the scattering matrix at...