Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems

Norimichi Hirano and Naoki Shioji

Abstract and Applied Analysis, 2004, vol. 2004, 1-21

Abstract:

In the case of K ≠ D ( A ) ¯ , we study Cauchy problems and periodic problems for nonlinear evolution equation u ( t ) ∈ K , u ′ ( t ) + A u ( t ) ∋ f ( t , u ( t ) ) , 0 ≤ t ≤ T , where A isa maximal monotone operator on a Hilbert space H , K is a closed, convex subset of H , V is a subspace of H , and f : [ 0 , T ] × ( K ∩ V ) → H is of Carathéodory type.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:826030

DOI: 10.1155/S1085337504311073

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