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Spatial critical points of solutions of a one-dimensional nonlinear parabolic problem

Author: Lawrence Turyn
Journal: Proc. Amer. Math. Soc. 106 (1989), 1003-1009
MSC: Primary 35K55; Secondary 35B05, 58E05
MathSciNet review: 961417
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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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Article copyright: © Copyright 1989 American Mathematical Society

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