Relatively compact orbits and compact attractors for a class of nonlinear evolution equations (Q1425214)
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scientific article; zbMATH DE number 2057847
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relatively compact orbits and compact attractors for a class of nonlinear evolution equations |
scientific article; zbMATH DE number 2057847 |
Statements
Relatively compact orbits and compact attractors for a class of nonlinear evolution equations (English)
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15 March 2004
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A nonlinear evolution equation with an \(m\)-accretive operator and a single-valued continuous perturbation is studied in a Banach space. The evolution operator has compact resolvent. Under natural assumptions, the relative compactness of the orbit for a mild solution is proved. In the same spirit, conditions under which the orbits of bounded sets have compact attractors are derived. An example from age-structured population dynamics illustrates the abstract results.
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evolution equation
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compact resolvent
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relatively compact orbit
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compact attractor
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