Carleman inequalities and inverse problems for the Schrodinger equation

Mercado, A.; Osses A.; Rosier L

Abstract

In this Note, we derive new Carleman inequalities for the evolution Schrödinger equation under a weak pseudoconvexity condition, which allows us to use weights with a linear spatial dependence. As a result, less restrictive boundary or internal observation regions may be used to obtain the stability for the inverse problem consisting in retrieving a stationary potential in the Schrödinger equation from a single boundary or internal measurement, respectively. To cite this article: A. Mercado et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008). © 2007 Académie des sciences.

Más información

Título según WOS: Carleman inequalities and inverse problems for the Schrodinger equation
Título según SCOPUS: Carleman inequalities and inverse problems for the Schrödinger equation
Título de la Revista: COMPTES RENDUS MATHEMATIQUE
Volumen: 346
Número: 01-feb
Editorial: ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Fecha de publicación: 2008
Página de inicio: 53
Página final: 58
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S1631073X07005018
DOI:

10.1016/j.crma.2007.11.014

Notas: ISI, SCOPUS