ZIB

Treffer pro Seite

Treffer 1 - 1 | 1 Treffer

Alles auswählen Exportieren

Digitale Medien

A Poincaré-Bendixson theorem for scalar reaction diffusion equations (1989)

Fiedler, Bernold ; Mallet-Paret, John

Springer

Archive for rational mechanics and analysis 107 (1989), S. 325-345

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 1432-0673

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Physik

Notizen: Abstract For scalar equations $$u_t = u_{xx} + f(x, u, u_x )$$ with x ε S 1 and f ε C 2 we show that the classical theorem of Poincaré and Bendixson holds: the ω-limit set of any bounded solution satisfies exactly one of the following alternatives: - it consists in precisely one periodic solution, or - it consists of solutions tending to equilibrium as $$t \to \pm \infty $$ This is surprising, because the system is genuinely infinite-dimensional.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00251553

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

Treffer 1 - 1 | 1 Treffer