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Perturbations of regularizing maximal monotone operators

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An Erratum to this article was published on 01 December 1984

Abstract

We consideru′(t)+Au(t)∋f(t), whereA is maximal monotone in a Hilbert spaceH. AssumeA is continuous or A=ϱφ or intD(A)≠∅ or dimH<∞. For suitably boundedf′s, it is shown that the solution mapf→u is continuous, even if thef′s are topologized much more weakly than usual. As a corollary we obtain the existence of solutions ofu′(t)+Au(t)∋B(u(t)), whereB is a compact mapping inH.

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Authors and Affiliations

  1. Mathematics Department, Vanderbilt University, 37235, Nashville, TN, USA

    Eric Schechter

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  1. Eric Schechter
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Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/BF02760518.

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Schechter, E. Perturbations of regularizing maximal monotone operators. Israel J. Math. 43, 49–61 (1982). https://doi.org/10.1007/BF02761684

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  • DOI: https://doi.org/10.1007/BF02761684

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