Spatial Critical Points of Solutions of a One-Dimensional Nonlinear Parabolic Problem

Authors

Larry Turyn, Wright State University - Main CampusFollow

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.

Repository Citation

Turyn, L. (1989). Spatial Critical Points of Solutions of a One-Dimensional Nonlinear Parabolic Problem. Proceedings of the American Mathematical Society, 106 (4), 1003-1009.
https://corescholar.libraries.wright.edu/math/10

DOI

10.2307/2047285