@Book{719202965, author="J{\"a}nig, Axel", title="morse complex for reaction-diffusion equations", year="2011", abstract="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.", note="vorgelegt von Axel J{\"a}nig", note="Rostock, Univ., Mathematisch-Naturwiss. Fak., Diss., 2012", url="http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2012-0048-4", url="http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2012-0048-4&pdf", url="http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2012-0048-4", language="English" }