A complement to Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals

DOI10.3792/pjaa.58.193zbMath0521.47033OpenAlexW2030585354MaRDI QIDQ1054988

Simeon Reich

Publication date: 1982

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.58.193

zbMATH Keywords

Trotter product formulanonexpansive semigroupnearest point projectioncyclically monotone operatorCrandall-Liggett theorem

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Groups and semigroups of linear operators (47D03)

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Cites Work

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• Solutions of two problems of H. Brezis
• Product formulas, nonlinear semigroups, and accretive operators
• Convergence and approximation of nonlinear semigroups
• Generalization of the Trotter-Lie formula
• Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals
• A limit theorem for projections