71 citations · 537 across the 49 of their papers we have counts for
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The Matrix Nonlinear Schrödinger Equation with a Potential
Ivan Naumkin, Ricardo Weder
This paper is devoted to the study of the large-time asymptotics of the small solutions to the matrix nonlinear Schrödinger equation with a potential on the half-line and with gene…
Trace maps under weak regularity assumptions
Ricardo Weder
We study bounded trace maps on hypersurfaces for Sobolev spaces from a point of view that is fundamentally different from the one in the classical theory. This allows us to constru…
Multidimensional Borg-Levinson Theorem
Yaroslav Kurylev, Matti Lassas, Ricardo Weder
We consider the inverse problem of the reconstruction of a Schrödinger operator on a unknown Riemannian manifold or a domain of Euclidean space. The data used is a part of the boun…
The Forced Non-Linear Schroedinger Equation with a Potential on the Half-Line
Ricardo Weder
In this paper we prove that the initial-boundary value problem for the forced non-linear Schroedinger equation with a potential on the half-line is locally and (under stronger cond…