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• W2166778949 abstract "In a Hilbert space H consider the equation d dt x(t) + T(t)x(t) + (t)x(t) = f(t), t 0, where the family of operators T(t), t 0 converges in a certain sense to a monotone operator S, the function vanishes at infinity and the function f converges to a point h. In this paper we provide sucient conditions that guarantee the fact that full limiting functions of any solution of the equation are points of the orthogonality set O(h;S) of S at h, namely the set of all x 2 H such that hSx h,x zi = 0, for all z 2 S 1(h). If the set O(h;S) is a singleton, then the original solution converges to a solution of the algebraic equation Sz = h. Our problem is faced by using the semi-flow theory and it extends to various directions the works (1, 12)." @default.
• W2166778949 created "2016-06-24" @default.
• W2166778949 creator A5013945420 @default.
• W2166778949 creator A5057531733 @default.
• W2166778949 date "2007-10-01" @default.
• W2166778949 modified "2023-09-26" @default.
• W2166778949 title "Regularization for evolution equations in Hilbert spaces involving monotone operators via the semi-flows method" @default.
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• W2166778949 hasPublicationYear "2007" @default.
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