A simple approach to Glimm's interaction estimates

Authors
Yong, WA
Citation
Wa. Yong, A simple approach to Glimm's interaction estimates, APPL MATH L, 12(2), 1999, pp. 29-34
Citations number
8
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
12
Issue
2
Year of publication
1999
Pages
29 - 34
Database
ISI
SICI code
0893-9659(199903)12:2<29:ASATGI>2.0.ZU;2-X
Abstract
This note presents a simple approach toward interaction estimates of elemen tary waves for hyperbolic conservation laws. The new approach uses neither the Taylor expansion nor induction. The same technique is used to simplify the different interaction estimates in studying nonhomogeneous systems and initial-boundary value problems with Glimm's scheme. (C) 1998 Elsevier Scie nce Ltd. All rights reserved.