Soliton equations and hyperbolic maps
Soliton scattering by delta impurities
Solitonová řešení a metoda obráceného rozptylu
Solitons and large time behavior of solutions of a multidimensional integrable equation
Novikov-Veselov equation is a (2+1)-dimensional analog of the classic Korteweg-de Vries equation integrable via the inverse scattering translform for the 2-dimensional stationary Schrödinger equation. In this talk we present some recent results on existence and absence of algebraically localized solitons for the Novikov-Veselov equation as well as some results on the large time behavior of the “inverse scattering solutions” for this equation.
Some mathematical problems in inverse potential scattering
Some new results in spectral and scattering theory of differential operators on
Some problems in inverse scattering theory
Some remarks on eigenfunction expansions for Schrödinger operators with non-local potentials.
Some Remarks on Transmutation, Scattering Theory, and Special Functions.
Some solved and unsolved canonical problems of diffraction theory
Spectral Analysis of the Laplacian in Domains with Cylinders.
Spectral and scattering theory for symbolic potentials of order zero
Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials
Spectral and scattering theory in deformed optical wave guides.
Spectral asymptotics for manifolds with cylindrical ends
The spectrum of the Laplacian on manifolds with cylindrical ends consists of continuous spectrum of locally finite multiplicity and embedded eigenvalues. We prove a Weyl-type asymptotic formula for the sum of the number of embedded eigenvalues and the scattering phase. In particular, we obtain the optimal upper bound on the number of embedded eigenvalues less than or equal to , where is the dimension of the manifold.
Spectral geometry and scattering theory for certain complete surfaces of finite volume.
Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances
We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrödinger operator. First, we prove a resolvent estimate for complex energies close to such a resonance. Using that estimate and an explicit representation of the resonant states, we show that the spectral projection has a semiclassical expansion in integer powers of , and compute its leading term. We use this result to compute the residue of the scattering amplitude at such a resonance. Eventually, we...
Spectral properties of vaguely elliptic pseudo differential operators with momentum dependent long range potentials using time dependent scattering theory - II.
Spectral theory of corrugated surfaces
We discuss spectral and scattering theory of the discrete laplacian limited to a half-space. The interesting properties of such operators stem from the imposed boundary condition and are related to certain phenomena in surface physics.
Stabilisation pour l'équation des ondes dans un domaine extérieur.
On s'intéresse dans cet article, a la stabilisation de l'équation des ondes dans un domaine extérieur avec condition de Dirichlet...