Perturbations of regularizing maximal monotone operators |
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Authors: | Eric Schechter |
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Institution: | (1) Mathematics Department, Vanderbilt University, 37235 Nashville, TN, USA |
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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.
An erratum to this article is available at . |
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