Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Lerner, Nicolas (1953-....)
Titre(s) : Metrics on the phase space and non-selfadjoint pseudo-differential operators [Texte électronique] / Nicolas Lerner
Publication : Basel ; Boston : Birkhäuser, cop. 2010
Description matérielle : 1 ressource dématérialisée
Collection : Pseudo-differential operators, theory and applications ; v. 3
Note(s) : Includes bibliographical references (pages 383-394) and index
"This book is devoted to the study of pseudo-differential operators, with special
emphasis on non-selfadjoint operators, a priori estimates and localization in the
phase space. We expose the most recent developments of the theory with its applications
to local solvability and semi-classical estimates for non-selfadjoint operators."
"The first chapter is introductory and gives a presentation of classical classes of
pseudo-differential operators. The second chapter is dealing with the general notion
of metrics on the phase space. We expose some elements of the so-called Wick calculus
and introduce general Sobolev spaces attached to a pseudo-differential calculus. The
third and last chapter is devoted to the topic of non-selfadjoint pseudo-differential
operators. After some introductory examples, we enter into the discussion of estimates
with loss of one derivative, starting with the proof of local solvability with loss
of one derivative under condition (P). We show that an estimate with loss of one derivative
is not a consequence of condition ([psi]). Finally, we give a proof of an estimate
with loss of 3/2 derivatives under condition ([psi])." "This book is accessible to
graduate students in analysis, and provides an up-to-date overview of the subject
which is useful to researchers in partial differential equations and semi-classical
analysis."--Jacket
Sujet(s) : Opérateurs, Théorie des
Indice(s) Dewey :
516 (23e éd.) = Géométrie
Identifiants, prix et caractéristiques : ISBN 9783764385101
Identifiant de la notice : ark:/12148/cb447148567
Notice n° :
FRBNF44714856
(notice reprise d'un réservoir extérieur)
