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Title: | Geometry of heteroclinic cascades in scalar parabolic differential equations |
Authors: | Wolfrum, Matthias |
URI: | https://doi.org/10.34657/2425 https://oa.tib.eu/renate/handle/123456789/2463 |
Issue Date: | 1998 |
Publisher: | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik |
Abstract: | We investigate the geometrical properties of the attractor for semilinear scalar parabolic PDEs on a bounded interval with Neumann boundary conditions. Using the nodal properties of the stationary solutions which are determined by an ordinary boundary value problem, we obtain crucial information about the long-time behavior for the full PDE. Especially, we prove a criterion for the intersection of strong- stable and unstable manifolds in the finite dimensional Morse-Smale flow on the attractor. |
Type: | book; Text |
Publishing status: | publishedVersion |
DDC: | 510 |
License: | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
Appears in Collections: | Mathematik |
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Wolfrum, Matthias, 1998. Geometry of heteroclinic cascades in scalar parabolic differential equations. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Wolfrum, M. (1998) Geometry of heteroclinic cascades in scalar parabolic differential equations. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
Wolfrum M. Geometry of heteroclinic cascades in scalar parabolic differential equations. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 1998.
Wolfrum, M. (1998). Geometry of heteroclinic cascades in scalar parabolic differential equations (Version publishedVersion). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
Wolfrum M. Geometry of heteroclinic cascades in scalar parabolic differential equations. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 1998.
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