Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems
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 ty...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504311073 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |