The aim of the paper is to investigate the properties of asymptotic stability and local asymptotic stability for the solutions of evolution equations and applications to partial differential systems. We deal with abstract operators, satisfying suitable axioms. Some applications to partial differential systems are given. In particular, we consider damped wave systems, the degenerate Laplacian operator and the polyharmonic operator.
Asymptotic stability for abstract evolution equations and applications to partial differential systems
BOCCUTO, Antonio;VITILLARO, Enzo
1998
Abstract
The aim of the paper is to investigate the properties of asymptotic stability and local asymptotic stability for the solutions of evolution equations and applications to partial differential systems. We deal with abstract operators, satisfying suitable axioms. Some applications to partial differential systems are given. In particular, we consider damped wave systems, the degenerate Laplacian operator and the polyharmonic operator.File in questo prodotto:
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