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

Larry Turyn

doi:10.2307/2047285

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

Larry Turyn

Wright State University

Research output: Contribution to journal › Article › peer-review

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?

Original language	American English
Journal	Proceedings of the American Mathematical Society
Volume	106
DOIs	https://doi.org/10.2307/2047285
State	Published - Aug 1 1989

Disciplines

Applied Mathematics
Applied Statistics
Mathematics
Physical Sciences and Mathematics
Statistics and Probability

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title = "Spatial Critical Points of Solutions of a One-Dimensional Nonlinear Parabolic Problem",

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?",

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

Abstract

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