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- W2327853627 abstract "We prove a formula relating the fixed point index of rest pointsof a completely continuous semiflow defined on a (not necessarilylocally compact) metric space in the interior of an isolatingblock $B$ to the Euler characteristic of the pair $(B,B^-)$,where $B^-$ is the exit set. The proof relies on a general conceptof an approximate neighborhood extension space and a full fixedpoint index theory for self-maps of such spaces. As aconsequence, a generalized Poincaré-Hopf type formula for thedifferential equation determined by a perturbation of thegenerator of a compact $C_0$ semigroup is obtained." @default.
- W2327853627 created "2016-06-24" @default.
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- W2327853627 date "2011-01-01" @default.
- W2327853627 modified "2023-10-16" @default.
- W2327853627 title "On a generalized Poincaré-Hopf formula in infinite dimensions" @default.
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- W2327853627 doi "https://doi.org/10.3934/dcds.2011.29.953" @default.
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