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Applied Analysis
Seminar information archive ～04/04｜Next seminar｜Future seminars 04/05～
| Date, time & place | Thursday 16:00 - 17:30 Room # (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kazuhiro Ishige, Yasuhito Miyamoto, Neal Bez, Ryo Takada |
2011/11/10
16:30-17:30 Room #128 (Graduate School of Math. Sci. Bldg.)
Bernold Fiedler (Free University of Berlin)
Schoenflies spheres in Sturm attractors (ENGLISH)
Bernold Fiedler (Free University of Berlin)
Schoenflies spheres in Sturm attractors (ENGLISH)
[ Abstract ]
In gradient systems on compact manifolds the boundary of the unstable manifold of an equilibrium need not be homeomorphic to a sphere, or to any compact manifold.
For scalar parabolic equations in one space dimension, however, we can exlude complications like Reidemeister torsion and the Alexander horned sphere. Instead the boundary is a Schoenflies embedded sphere. This is due to Sturm nodal properties related to the Matano lap number.
In gradient systems on compact manifolds the boundary of the unstable manifold of an equilibrium need not be homeomorphic to a sphere, or to any compact manifold.
For scalar parabolic equations in one space dimension, however, we can exlude complications like Reidemeister torsion and the Alexander horned sphere. Instead the boundary is a Schoenflies embedded sphere. This is due to Sturm nodal properties related to the Matano lap number.
