Solutions of two problems of H. Brezis

DOI10.1016/0022-247X(83)90147-6zbMath0521.47035OpenAlexW1984067197MaRDI QIDQ1054990

Simeon Reich

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90147-6

zbMATH Keywords

product formulasresolvent consistencyconvergence for nonlinear contractive algorithms

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Nonlinear differential equations in abstract spaces (34G20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Product formulas, nonlinear semigroups, and accretive operators
• Convergence and approximation of nonlinear semigroups
• Generalization of the Trotter-Lie formula
• A nonlinear Hille-Yosida theorem in Banach spaces
• Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals
• Un exemple concernant le comportement asymptotique de la solution du problème \(du/dt+\partial\varphi(\mu)\ni=0\)
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