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UNIQUENESS PROPERTIES OF SOLUTIONS TO SCHRÖDINGER EQUATIONS.

Authors :
Escauriaza, L.
Kenig, C. E.
Ponce, G.
Vega, L.
Source :
Bulletin (New Series) of the American Mathematical Society. Jul2012, Vol. 49 Issue 3, p415-442. 28p.
Publication Year :
2012

Abstract

The article presents the use of the strong unique continuation property (SUCP) in resolving the Schrödinger equations. A problem in quantitative unique continuation around the point at infinity is considered to strengthen the hypothesis proposed by Carleman and Müller for nonlinear problems. Mathematical proofs for uncertainty principles of Hardy, Morgan and Ingham types and various theorems are given.

Details

Language :
English
ISSN :
02730979
Volume :
49
Issue :
3
Database :
Academic Search Index
Journal :
Bulletin (New Series) of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
75379899
Full Text :
https://doi.org/10.1090/S0273-0979-2011-01368-4