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- W2368171659 abstract "Consider in a Hilbert space [Formula: see text] the Cauchy problem [Formula: see text]: [Formula: see text], and associate with it the second-order problem [Formula: see text]: [Formula: see text], where [Formula: see text] is a (possibly set-valued) maximal monotone operator, [Formula: see text] is a Lipschitz operator, and [Formula: see text] is a positive small parameter. Note that [Formula: see text] is an elliptic-like regularization of [Formula: see text] in the sense suggested by Lions in his book on singular perturbations. We prove that the solution [Formula: see text] of [Formula: see text] approximates the solution [Formula: see text] of [Formula: see text]: [Formula: see text]. Applications to the nonlinear heat equation as well as to the nonlinear telegraph system and the nonlinear wave equation are presented." @default.
- W2368171659 created "2016-06-24" @default.
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- W2368171659 date "2016-05-13" @default.
- W2368171659 modified "2023-10-18" @default.
- W2368171659 title "Elliptic-like regularization of a fully nonlinear evolution inclusion and applications" @default.
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- W2368171659 doi "https://doi.org/10.1142/s0219199716500371" @default.
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