http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31118
On some nonlocal evolution equations in Banach spaces (Articolo in rivista)
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- Label
- On some nonlocal evolution equations in Banach spaces (Articolo in rivista) (literal)
- Anno
- 2004-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1007/s00030-003-0056-4 (literal)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
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- Note
- ISI Web of Science (WOS) (literal)
- athematical Reviews on the web (MathSciNet) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- Titolo
- On some nonlocal evolution equations in Banach spaces (literal)
- Abstract
- This note is concerned with the initial value problem for the abstract nonlocal equation (Au)' + (Bu) There Exists f where A is a maximal monotone operator from a reflexive Banach space E to its dual E*, while B is a nonlocal maximal monotone operator from L-p (0, T; E) to L-q (0, T; E*) with p(-1) + q(-1) = 1, p is an element of (1, infinity). Under proper boundedness and coercivity assumptions on the operators, a solution is achieved by means of a discretization argument. Uniqueness and continuous dependence are also discussed and we prove some estimates for the discretization error. Finally, we deal with the approximation of linear Volterra integrodifferential operators. (literal)
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