UNIQUENESS AND STABILITY OF SOLUTIONS FOR CAUCHY-PROBLEM OF NONLINEARDIFFUSION-EQUATIONS

Authors
ZHAO JN LEI PD
Citation
Jn. Zhao et Pd. Lei, UNIQUENESS AND STABILITY OF SOLUTIONS FOR CAUCHY-PROBLEM OF NONLINEARDIFFUSION-EQUATIONS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 40(9), 1997, pp. 917-925
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
40
Issue
9
Year of publication
1997
Pages
917 - 925
Database
ISI
SICI code
1001-6511(1997)40:9<917:UASOSF>2.0.ZU;2-#
Abstract
The uniqueness of solutions for Cauchy problem of the form partial der ivative u/partial derivative t = Delta A (u) = (i=1)Sigma(N) partial d erivative b(i)(u)/partial derivative x(i) + c (u) is studied. It is pr oved that if u is an element of BVx and A(u) is strictly increasing, t he solution is unique.