A Note on Time Dependent Scattering Theory for P2 - P2 + (1 + |Q|) - 1 ... and P1 P2 + (1 + |Q|) - 1 - ... on L2 (R2).
Pl. Muthuramalingam (1984/85)
Mathematische Zeitschrift
Similarity:
Pl. Muthuramalingam (1984/85)
Mathematische Zeitschrift
Similarity:
Lars Hörmander (1976)
Mathematische Zeitschrift
Similarity:
Plamen D. Stefanov (1989)
Mathematische Zeitschrift
Similarity:
Plamen D. Stefanov (1991)
Mathematische Zeitschrift
Similarity:
Klaus-Jürgen Eckhardt (1974)
Mathematische Zeitschrift
Similarity:
Günter Stolz, Thomas Poerschke (1993)
Mathematische Zeitschrift
Similarity:
Sönke Hansen (1987/88)
Mathematische Annalen
Similarity:
Joachim Weidmann, Kresimir Veselic (1977)
Mathematische Zeitschrift
Similarity:
A. Martin (1974)
Recherche Coopérative sur Programme n°25
Similarity:
Hartmut Pecher (1984)
Mathematische Zeitschrift
Similarity:
Hartmut Pecher (1988)
Mathematische Zeitschrift
Similarity:
Philip Brenner (1984)
Mathematische Zeitschrift
Similarity:
Alessia Berti (2007)
Bollettino dell'Unione Matematica Italiana
Similarity:
The reflection-transmission problem of time-harmonic waves in a viscoelastic, anisotropic and stratified solid is examined. The medium is supposed to occupy the whole space. The waves are sent either from upwards or downwards with oblique incidence. The scattering matrix is defined by generalizing the procedure followed in the scalar case, namely, when the solid is isotropic and the wave incidence is normal. Existence, uniqueness and properties of the scattering matrix are discussed. ...
Demontis, Francesco, der Mee, Cornelis van (2010)
Serdica Mathematical Journal
Similarity:
2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10. In this article we prove that the wave operators describing the direct scattering of the defocusing matrix Zakharov-Shabat system with potentials having distinct nonzero values with the same modulus at ± ∞ exist, are asymptotically complete, and lead to a unitary scattering operator. We also prove that the free Hamiltonian operator is absolutely continuous.
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.
Armin Lechleiter, Dinh-Liem Nguyen (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
Consider time-harmonic electromagnetic wave scattering from a biperiodic dielectric structure mounted on a perfectly conducting plate in three dimensions. Given that uniqueness of solution holds, existence of solution follows from a well-known Fredholm framework for the variational formulation of the problem in a suitable Sobolev space. In this paper, we derive a Rellich identity for a solution to this variational problem under suitable smoothness conditions on the material parameter....