On the maximum principle for generalized solutions to the Tricomi problem

Authors
Lupo, D Payne, KR
Citation
D. Lupo et Kr. Payne, On the maximum principle for generalized solutions to the Tricomi problem, COMMUN C M, 2(4), 2000, pp. 535-557
Citations number
24
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN journal
02191997 → ACNP
Volume
2
Issue
4
Year of publication
2000
Pages
535 - 557
Database
ISI
SICI code
0219-1997(200011)2:4<535:OTMPFG>2.0.ZU;2-M
Abstract
A maximum/minimum principle for weighted W-1,W-2 solutions to the Tricomi p roblem with L-2 right hand side and homogeneous boundary data is establishe d for normal Tricomi domains. In addition, the existence and uniqueness of such generalized solutions is established for arbitrary L-2 right hand side s in normal domains which satisfy a convexity condition near the parabolic boundary points.