Multiplicative perturbation of nonlinear m-accretive operators |
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Authors: | B Calvert |
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Affiliation: | Department of Mathematics, University of Auckland, New Zealand; Department of Mathematics, University of Colorado, Boulder, Colorado 80302 USA |
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Abstract: | Criteria are obtained for when an accretive product (i.e., composition) BA of nonlinear m-accretive operators A and B in a Banach space X will be itself m-accretive; and, in particular, when a monotone product of two maximal monotone operators in a Hilbert space will be maximal monotone. This extends the theory of multiplicative perturbation of infinitesimal generators of contraction semigroups to the nonlinear case. Also obtained as a biproduct are existence theorems for certain Hammerstein integral equations. |
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