A Sequence of Order Relations: Encoding Heteroclinic Connections in Scalar Parabolic PDE
In: Journal of Differential Equations, Jg. 183 (2002-07-01), Heft 1, S. 56-78
Online
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Zugriff:
We address the problem of heteroclinic connections in the attractor of dissipative scalar semilinear parabolic equations ut = uxx + ƒ (x, u, ux), 0 < x < 1 on a bounded interval with Neumann conditions. Introducing a sequence of order relations, we prove a new and simple criterion for the existence of heteroclinic connections, using only information about nodal properties of solutions to the stationary ODE problem. This result allows also for a complete classiffication of possible attractors in terms of the permutation of the equilibria, given by their order at the two boundaries of the interval.
Titel: |
A Sequence of Order Relations: Encoding Heteroclinic Connections in Scalar Parabolic PDE
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Autor/in / Beteiligte Person: | Wolfrum, Matthias |
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Zeitschrift: | Journal of Differential Equations, Jg. 183 (2002-07-01), Heft 1, S. 56-78 |
Veröffentlichung: | Elsevier BV, 2002 |
Medientyp: | unknown |
ISSN: | 0022-0396 (print) |
DOI: | 10.1006/jdeq.2001.4114 |
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