Premium
Pseudo‐differential energy estimates of singular perturbations
Author(s) -
Grenier E.
Publication year - 1997
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199709)50:9<821::aid-cpa2>3.0.co;2-7
Subject(s) - mathematics , a priori and a posteriori , energy (signal processing) , differential (mechanical device) , mathematical analysis , singular solution , differential equation , statistics , physics , thermodynamics , philosophy , epistemology
In this paper we study singular limits of hyperbolic systems, which exhibit large time oscillations, and in particular pseudo‐differential energy estimates that enable us to obtain uniform existence time and a priori bounds on the solutions. © 1997 John Wiley & Sons, Inc.