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Approximation of generalized bounded solutions of evolution equations with unbounded operator

✍ Scribed by O. O. Pokutnyi

Publisher
Springer US
Year
2011
Tongue
English
Weight
187 KB
Volume
14
Category
Article
ISSN
1536-0059

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## Abstract The convergence of the Galerkin approximations to solutions of abstract evolution equations of the form __u__β€²(__t__)= βˆ’ __Au__(__t__) + __M__(__u__(__t__)) is shown. Here __A__ is a closed, positive definite, self‐adjoint linear operator with domain __D__(__A__) dense in a Hilbert spac