SPACE-TIME ESTIMATES FOR COMPATIBLE FORMS ASSOCIATED WITH 1ST-ORDER HYPERBOLIC SYSTEMS

Authors
GEORGIEV V SCHIRMER PP
Citation
V. Georgiev et Pp. Schirmer, SPACE-TIME ESTIMATES FOR COMPATIBLE FORMS ASSOCIATED WITH 1ST-ORDER HYPERBOLIC SYSTEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(12), 1994, pp. 1109-1114
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
12
Year of publication
1994
Pages
1109 - 1114
Database
ISI
SICI code
0764-4442(1994)318:12<1109:SEFCFA>2.0.ZU;2-Q
Abstract
We prove here estimates of Klainerman-Machedon type for non-linearitie s of compatible type associated with linear symmetric hyperbolic syste ms. This is accomplished by estimating some Fourier integral operators arising from the parametrix representation of the solutions.