Document Type

Article

Publication Date

8-1989

Abstract

The number of spatial critical points is nonincreasing in time, for positive, analytic solutions of a scalar, nonlinear, parabolic partial differential equation in one space dimension. While proving this, we answer the question: What happens to a critical point which loses simplicity?

Comments

First published in Proceedings of the American Mathematical Society 106.4 (1989), published by the American Mathematical Society.

DOI

10.2307/2047285