Article
Spatial Critical Points of Solutions of a One-Dimensional Nonlinear Parabolic Problem
Proceedings of the American Mathematical Society
Document Type
Article
Publication Date
8-1-1989
Disciplines
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?
DOI
10.2307/2047285
Citation Information
Larry Turyn. "Spatial Critical Points of Solutions of a One-Dimensional Nonlinear Parabolic Problem" Proceedings of the American Mathematical Society Vol. 106 Iss. 4 (1989) p. 1003 - 1009 ISSN: 0002-9939 Available at: http://works.bepress.com/larry_turyn/1/
First published in Proceedings of the American Mathematical Society 106.4 (1989), published by the American Mathematical Society.