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Continuity of strong solutions of the Reaction–Diffusion equation in initial data

Authors :
Trujillo, Timothy
Wang, Bixiang
Source :
Nonlinear Analysis. Oct2008, Vol. 69 Issue 8, p2525-2532. 8p.
Publication Year :
2008

Abstract

Abstract: This paper is concerned with the continuity of strong solutions of the Reaction–Diffusion equation with respect to initial conditions. It is proved that the solutions of the equation are continuous in with respect to initial data provided the nonlinearity satisfies a dissipative condition with polynomial growth order . [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0362546X
Volume :
69
Issue :
8
Database :
Academic Search Index
Journal :
Nonlinear Analysis
Publication Type :
Academic Journal
Accession number :
34087223
Full Text :
https://doi.org/10.1016/j.na.2007.08.032