A microlocal study of a transparent condition for the linear Schrodinger equation

Authors
Antoine, X Besse, C
Citation
X. Antoine et C. Besse, A microlocal study of a transparent condition for the linear Schrodinger equation, CR AC S I, 331(5), 2000, pp. 359-364
Citations number
7
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
331
Issue
5
Year of publication
2000
Pages
359 - 364
Database
ISI
SICI code
0764-4442(20000901)331:5<359:AMSOAT>2.0.ZU;2-B
Abstract
A transparent condition for the linear Schrodinger equation is constructed from a microlocal approximation of the Dirichlet-Neumann operator for a rel evant subset of frequencies called the quasi-hyperbolic zone. A quasi-analy tic characterization of the asymptotic expansion of the total symbol of thi s pseudodifferential operator in a subclass of inhomogeneous symbols with p olynomial-like structure is stated. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.