Article ID Journal Published Year Pages File Type
5500375 Physica D: Nonlinear Phenomena 2016 10 Pages PDF
Abstract
Fiedler and Mallet-Paret (1989) prove a version of the classical Poincaré-Bendixson Theorem for scalar parabolic equations. We prove that a similar result holds for bounded solutions of the non-linear Cauchy-Riemann equations. The latter is an application of an abstract theorem for flows with a(n) (unbounded) discrete Lyapunov function.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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