Global structure of self-similar solutions in a semilinear parabolic equation

Authors
Hirose, M Yanagida, E
Citation
M. Hirose et E. Yanagida, Global structure of self-similar solutions in a semilinear parabolic equation, J MATH ANAL, 244(2), 2000, pp. 348-368
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
244
Issue
2
Year of publication
2000
Pages
348 - 368
Database
ISI
SICI code
0022-247X(20000415)244:2<348:GSOSSI>2.0.ZU;2-W
Abstract
The aim of this paper is to investigate the structure of radial solutions f or a semilinear elliptic equation Delta u + (y.del u)/2 + u/(p - 1) + \u\(p -1)u = 0, y epsilon R-n, which is related to forward self-similar solutions of a semilinear parabolic equation nu(t) = Delta nu + \v\(p-1)nu, (t, x) e psilon (0,infinity) x R-n. We study the existence, uniqueness, and paramete r dependency of rapidly decaying solutions with a prescribed number of zero s. (C) 2000 Academic Press.