On some nonlocal evolution equations in Banach spaces |
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Authors: | Email author" target="_blank">Ulisse?StefanelliEmail author |
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Institution: | (1) Istituto di Analisi Numerica, CNR, via Ferrata 1, 27100 Pavia, Italy |
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Abstract: | This note is concerned with the initial value problem for the abstract
nonlocal equation
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
.
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. |
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Keywords: | 35K90 45N05 |
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