[PDF] Top 20 An inverse scattering problem for the Schrödinger equation in a semiclassical process.

... to the Euclidian, Alexandrova shows in [1] that the scattering amplitude in the semiclassical regime, (actually, the scattering relations), determines V ... Voir le document complet

... that the approach we present here is no longer expected to be asymptotic preserving beyond the breakup time for the Euler ...equation. The pres- ence of rapid oscillations is ... Voir le document complet

... ] for straight cylindrical scatterers with arbitrary cross-sections of small ...area. The asymptotic representation formula for the scattered field together with this pointwise description of ... Voir le document complet

... at the points of ∂Ω − . The spectral analysis of the various realizations of A h has several applications in mathematical physics, among them are the Orr-Sommerfeld equations ... Voir le document complet

... that for the classical multidimensional Newton equation in a bounded open strictly convex domain an inverse boundary value problem at high energies was first ... Voir le document complet

... methods The iterative methods give an identification of the unknown objects thanks to an appro- priate parametrization of the boundary of the scatterer and by computing ... Voir le document complet

... of the results of Section 3 Our strategy is the same as for Section 5 ...give an other proof as follows, without requiring the pseudo-conformal ...if a solution u of ( 1.1 ) had ... Voir le document complet

... of the time dependent Schr¨odinger equation. On the one hand, we study an inverse problem about this equation set in a bounded domain, with time independent ... Voir le document complet

... References [Ab] A. Abbakhati-Mchachti, Syst`emes semilin´eaires d’´equations de Schr¨ odinger, Th`ese num´ero 1338, Universit´e de Toulouse III, 1992, France. [Ag1] S. Agmon, Lecture on Exponential Decay of ... Voir le document complet

... ] for a similar framework in the context of numerical ...that the vector field of a monomial,z j 1 · · · z j k containing at least three Fourier modes z ℓ with large indices ℓ ... Voir le document complet

... denotes the characteristic function of a subdomain D of Ω, and u 0 and f are given functions defined respectively on Ω and ΣT .... The IBVP (1) describes the heat conduction procedure ... Voir le document complet

... solutions for any 𝛼 ∈ N * are expected to exist, and one can investigate their behavior analytically and ...However, the study of the time-dependent equation from an analytical point of ... Voir le document complet

... stressed in the introduction, the main goals to find new results on the Cauchy problem for Schr¨ odinger-Debye equations were first to give a theoretical background ... Voir le document complet

... giving a precise definition of the word ‘‘Information’’. The problem involves a certain number of possible ...is a function of the ratio of the number of possible ... Voir le document complet

... localize the inhomogeneity ...that the DCTMC algorithm is able to solve nonlinear ISPs where other mainstream nonlinear inversion techniques ...fail. The results reported here further suggest that ... Voir le document complet

... and problem setting Problems in volcanology often involve elasticity models in presence of cracks (see ...of the time the force exerted on the crack is unknown, and the ... Voir le document complet

... need a non-trapping condition on classical trajectories of energy E > 0 to have uniform esti- mates of the resolvent and the limiting absorption principle around E (see [RT87, ...Wan87]). ... Voir le document complet

... (4.2) the inf is taken among paths such that γ(0) = y and γ(1) = x. For common properties of the Agmon distance, one can see for example ...that, for any fixed y ∈ R n , the ... Voir le document complet

... like in the Euclidian case: eventually a loss will occur, due to the volume being ...estimates for the wave equation are unknown, while in the case of ... Voir le document complet

... close for all m ∈ N
or λ − (µm) and ˜ λ + (µm) close for all m ∈ N
.... In order to overcome this problem, we will need to do some hypotheses on the warping function f to introduce ... Voir le document complet