Some new results in spectral and scattering theory of differential operators on
S. Agmon (1978-1979)
Séminaire Équations aux dérivées partielles (Polytechnique)
Similarity:
Displaying similar documents to “Aspects of nonlinear scattering theory”
Some new results in spectral and scattering theory of differential operators on
Long range scattering with Stark effect and almost periodic potentials.
White, Denis A.W. (1992)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Scattering theory with two spaces : application to transport equations with obstacles
Mustapha Mokhtar-Kharroubi, Mohamed Chabi, Plamen Stefanov (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity
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.
On eigenfunction expansions and scattering theory.
Günter Stolz, Thomas Poerschke (1993)
Mathematische Zeitschrift
Similarity:
The inverse -body problem. A geometrical approach
R. Weder (1994-1995)
Séminaire Équations aux dérivées partielles (Polytechnique)
Similarity:
Scattering of small solutions of a symmetric regularized-long-wave equation
Sevdzhan Hakkaev (2004)
Applicationes Mathematicae
Similarity:
We study the decay in time of solutions of a symmetric regularized-long-wave equation and we show that under some restriction on the form of nonlinearity, the solutions of the nonlinear equation have the same long time behavior as those of the linear equation. This behavior allows us to establish a nonlinear scattering result for small perturbations.