THE RADIUS OF CONVERGENCE AND THE WELL-POSEDNESS OF THE PAINLEVE EXPANSIONS OF THE KORTEWEG-DE-VRIES EQUATION

Authors
JOSHI N SRINIVASAN GK
Citation
N. Joshi et Gk. Srinivasan, THE RADIUS OF CONVERGENCE AND THE WELL-POSEDNESS OF THE PAINLEVE EXPANSIONS OF THE KORTEWEG-DE-VRIES EQUATION, Nonlinearity, 10(1), 1997, pp. 71-79
Citations number
9
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
10
Issue
1
Year of publication
1997
Pages
71 - 79
Database
ISI
SICI code
0951-7715(1997)10:1<71:TROCAT>2.0.ZU;2-P
Abstract
In this paper we obtain explicit lower bounds for the radius of conver gence of the Painleve expansions of the Korteweg-de Vries equation aro und a movable singularity manifold S in terms of the sup norms of the arbitrary functions involved. We use this estimate to prove the well-p osedness of the singular Cauchy problem on S in the form of continuous dependence of the meromorphic solution on the arbitrary data.