Bounded solutions of nonlinear parabolic equations

We are concerned with bounded solutions existing for all times for nonlinear parabolic equations with possibly nonlinear boundary conditions. A counterexample shows that, without an additional condition, a (weak) maximum principle does not hold for linear problems defined on the entire real line...

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Bibliographic Details
Main Authors: Nsoki Mavinga, Mubenga N. Nkashama
Format: Article
Language:English
Published: Texas State University 2010-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/19/m2/abstr.html