Quantitative uniqueness for Schrödinger operator with regular potentials

Bakri, Laurent; Casteras, Jean-Baptiste

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1002/mma.2951

Title :

Quantitative uniqueness for Schrödinger operator with regular potentials

Author(s) :

Bakri, Laurent [Auteur]
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Casteras, Jean-Baptiste [Auteur]
Quantitative methods for stochastic models in physics [MEPHYSTO]

Journal title :

Mathematical Methods in the Applied Sciences

Pages :

1992-2008

Publisher :

Wiley

Publication date :

2014-07

ISSN :

0170-4214

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

We give a sharp upper bound on the vanishing order of solutions to Schrödinger equation with C 1 magnetic potential on a compact smooth manifold. Our method is based on quantitative Carleman type inequalities developed by ...
Show more >We give a sharp upper bound on the vanishing order of solutions to Schrödinger equation with C 1 magnetic potential on a compact smooth manifold. Our method is based on quantitative Carleman type inequalities developed by Donnelly and Fefferman [4]. It also extends the previous work [3] of the first author to the magnetic potential case.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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