TY  - BOOK
AU  - Jänig, Axel
PY  - 2011
DA  - 2011//
TI  - morse complex for reaction-diffusion equations
AB  - The singular homology of a compact smooth Riemannian manifold can be described by means of its Morse-Smale-Witten chain complex. There are proofs of this which rely on Conley index theory. We generalize these ideas to cover a class of semilinear parabolic equations, notably reaction-diffusion equations. Finally, one obtains a Morse complex for suitable isolated invariant sets.
UR  - http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2012-0048-4
UR  - http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2012-0048-4&pdf
UR  - http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2012-0048-4
LA  - English
N1  - vorgelegt von Axel Jänig
ID  - 719202965
ER  -