m
• E

F Nous contacter

0

# Documents  Critères de recherche : "Complex analysis and spectral theory" | enregistrements trouvés : 2

O

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Spectral theory and semi-classical analysis for the complex Schrödinger operator Helffer, Bernard | CIRM H

Post-edited

Research talks;Partial Differential Equations;Mathematical Physics

We consider the operator $\mathcal{A}_h = -h^2 \Delta + iV$ in the semi-classical limit $h \to 0$, where $V$ is a smooth real potential with no critical points. We obtain both the left margin of the spectrum, as well as resolvent estimates on the left side of this margin. We extend here previous results obtained for the Dirichlet realization of $\mathcal{A}_h$ by removing significant limitations that were formerly imposed on $V$. In addition, we apply our techniques to the more general Robin boundary condition and to a transmission problem which is of significant interest in physical applications. We consider the operator $\mathcal{A}_h = -h^2 \Delta + iV$ in the semi-classical limit $h \to 0$, where $V$ is a smooth real potential with no critical points. We obtain both the left margin of the spectrum, as well as resolvent estimates on the left side of this margin. We extend here previous results obtained for the Dirichlet realization of $\mathcal{A}_h$ by removing significant limitations that were formerly imposed on $V$. In addition, ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Complex analysis and spectral theory seminar :seminar held in leningrad 1979/80 Havin, V. F. ; Nikol'Skii, N. K. | Springer-Verlag 1981

Congrès

- 480 p.
ISBN 978-3-540-10695-1

Lecture notes in mathematics , 0864

Localisation : Collection 1er étage

#### Filtrer

##### Codes MSC

Ressources Electroniques (Depuis le CIRM)

Books & Print journals

Recherche avancée

0
Z