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

Norimichi Hirano and Naoki Shioji

Abstract and Applied Analysis, 2004, vol. 2004, issue 3, 183-203

Abstract: In the case of K≠D(A)¯, we study Cauchy problems and periodic problems for nonlinear evolution equation u(t) ∈ K, u′(t) + Au(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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https://doi.org/10.1155/S1085337504311073

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2004:y:2004:i:3:p:183-203

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