Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems (Q697518)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems |
scientific article; zbMATH DE number 1801694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems |
scientific article; zbMATH DE number 1801694 |
Statements
Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems (English)
0 references
17 September 2002
0 references
The author studies a class of \(G\)-equivariant \(LS\)-flows in Hilbert space and provides a construction of the \(G\)-equivariant \(LS\)-homotopy Conley index. He discusses its basic properties together with \(G\)-equivariant Morse decompositions of isolated invariant sets in the Hilbert space. As an application the author obtains the existence of multiple \(2/\pi\)-periodic solutions to certain Hamiltonian systems.
0 references
Lie groups
0 references
Equivariant maps
0 references
Cohomology groups
0 references
Conley index
0 references
Morse decomposition
0 references
Hilbert space
0 references
Hamiltonian systems
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
