The morse complex for reaction-diffusion equations Jänig, Axel , 1982- Text theses Text Hochschulschrift 2011 2011 eng electronic resourceremoteComputermedienOnline-Ressourcetext/htmlapplication/pdfOnline-Ressource graph. Darst. 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. vorgelegt von Axel Jänig Rostock, Univ., Mathematisch-Naturwiss. Fak., Diss., 2012 SK 560 31.45 http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2012-0048-4 http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2012-0048-4&pdf http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2012-0048-4 The morse complex for reaction-diffusion equations--(DE-627)697270971 urn:nbn:de:gbv:28-diss2012-0048-4 oclc: 840068629 ppn: (DE-627)719202965