𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An Inverse Problem for the Matrix Schrödinger Equation

✍ Scribed by Robert Carlson

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
104 KB
Volume
267
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

By modifying and generalizing some old techniques of N. Levinson, a uniqueness theorem is established for an inverse problem related to periodic and Sturm-Liouville boundary value problems for the matrix Schrödinger equation.

📜 SIMILAR VOLUMES

The Matrix Nonlinear Schrödinger Equatio
The Matrix Nonlinear Schrödinger Equation in Dimension 2
✍ Liu Zuhan; Michael Pedersen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 92 KB

In this paper we study the existence of global solutions to the Cauchy problem Ž . for the matrix nonlinear Schrodinger equation MNLS in 2 space dimensions. A sharp condition for the global existence is obtained for this equation. This condition is in terms of an exact stationary solution of a semil

Lp−Lp Estimates for the Schrödinger Equa
Lp−Lp Estimates for the Schrödinger Equation on the Line and Inverse Scattering for the Nonlinear Schrödinger Equation with a Potential
✍ Ricardo Weder 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 286 KB

In this paper I prove a L p &L p estimate for the solutions to the one-dimensional Schro dinger equation with a potential in L 1 # where in the generic case #>3Â2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) #>5Â2. I use this estimate to construct the scatterin