Classification of heteroclinic orbits of semilinear parabolic equations with a polynomial nonlinearity

For a given semilinear parabolic equation with polynomial nonlinearity, many solutions blow up in finite time. For a certain class of these equations, we show that some of the solutions which do not blow up actually tend to equilibria. The characterizing property of such solutions is a finite en...

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Bibliographic Details
Main Author: Michael Robinson
Format: Article
Language:English
Published: Texas State University 2011-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/61/abstr.html