An application of the Kantorovich-Rubinstein maximum principle in the theory of the Tjon-Wu equation

Authors
Lasota, A Traple, J
Citation
A. Lasota et J. Traple, An application of the Kantorovich-Rubinstein maximum principle in the theory of the Tjon-Wu equation, J DIFF EQUA, 159(2), 1999, pp. 578-596
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
159
Issue
2
Year of publication
1999
Pages
578 - 596
Database
ISI
SICI code
0022-0396(199912)159:2<578:AAOTKM>2.0.ZU;2-5
Abstract
A new proof of the asymptotic stability of a stationary solution of the Tjo n-Wu equation is given. The proof is based on some special properties (the maximum principle) of the Kantorovich-Rubinstein metric. Our method allows us to consider the Tjon-Wu equation in a more general form. (C) 1999 Academ ic Press.