CAUCHY-PROBLEM AND INITIAL TRACES FOR A DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATION

Authors
ZHAO JN XU ZH
Citation
Jn. Zhao et Zh. Xu, CAUCHY-PROBLEM AND INITIAL TRACES FOR A DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATION, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 39(7), 1996, pp. 673-684
Citations number
9
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
39
Issue
7
Year of publication
1996
Pages
673 - 684
Database
ISI
SICI code
1001-6511(1996)39:7<673:CAITFA>2.0.ZU;2-S
Abstract
The Cauchy problem and initial traces for the doubly degenerate parabo lic equations u(t) = div(\Du(m)\(p-2)Du(m)) are studied. Under certain growth condition on the initial datum u(0)(x) as \x\ --> infinity, th e existence of solution is proved. The results obtained are optimal in the class of nonnegative locally bounded solution, for which a Harnac k-type inequality holds.