Volume 5, Number 3, Summer 1997
DYNAMICS OF A SCALAR PARABOLIC EQUATION
JACK K. HALE
Abstract. In these notes, we consider a scalar parabolic
equation which is either autonomous or time dependent. We
give a survey of some of the results that deal with the qualitative
properties of the dynamics defined by general equations
as well as specific results for particular equations. Many of
the ideas for a scalar equation have served as a guide to the
study of interesting phenomena in systems. We make some
remarks about systems, but space limits a detailed discussion
of this case.
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