%0 Book
%T morse complex for reaction-diffusion equations
%A Jänig, Axel
%D 2011
%G English
%F 719202965
%O vorgelegt von Axel Jänig
%O Rostock, Univ., Mathematisch-Naturwiss. Fak., Diss., 2012
%X 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.
%L SK 560
%9 theses
%9 Text
%9 Hochschulschrift
%U http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2012-0048-4
%U http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2012-0048-4&pdf
%U http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2012-0048-4