Schrödinger operators and unique continuation. Towards an optimal result |
| |
Authors: | Damir Kinzebulatov Leonid Shartser |
| |
Affiliation: | Department of Mathematics, University of Toronto, Toronto, ON, Canada M5S 2E4 |
| |
Abstract: | In this article we prove the property of unique continuation (also known for C∞ functions as quasianalyticity) for solutions of the differential inequality |Δu|?|Vu| for V from a wide class of potentials (including class) and u in a space of solutions YV containing all eigenfunctions of the corresponding self-adjoint Schrödinger operator. Motivating question: is it true that for potentials V, for which self-adjoint Schrödinger operator is well defined, the property of unique continuation holds? |
| |
Keywords: | Unique continuation Schrö dinger operators |
本文献已被 ScienceDirect 等数据库收录! |