Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500375 | Physica D: Nonlinear Phenomena | 2016 | 10 Pages |
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
Authors
J.B. van den Berg, S. Munaò, R.C.A.M. Vandervorst,