A spectral mapping theorem for semigroups solving PDEs with nonautonomous past

Genni Fragnelli

Abstract and Applied Analysis, 2003, vol. 2003, 1-19

Abstract:

We prove a spectral mapping theorem for semigroups solving partial differential equations with nonautonomous past. This theorem is then used to give spectral conditions for the stability of the solutions of the equations.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:405758

DOI: 10.1155/S1085337503306335

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