Convergence and approximation of nonlinear semigroups

DOI10.1016/0022-247X(80)90060-8zbMath0449.47070MaRDI QIDQ1147358

Simeon Reich

Publication date: 1980

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

zbMATH Keywords

convergence of the resolventssequence of semigroupsTrotter-Neveu-Kato theorem

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06)

Related Items (13)

An incomplete Cauchy problem ⋮ Differential equations in a Banach space ⋮ Continuous dependence on data for a second-order nonhomogeneous difference inclusion ⋮ Generalization of the Trotter-Lie formula ⋮ On the asymptotic behavior of nonlinear semigroups and the range of accretive operators. II ⋮ A nonlinear Hille-Yosida theorem in Banach spaces ⋮ On proximal mappings with Young functions in uniformly convex Banach spaces ⋮ Convergence and approximation of semigroups of Lipschitz operators ⋮ On a nonlinear singular diffusion problem: convergence to a traveling wave ⋮ Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals ⋮ Nonlinear rotative semigroups ⋮ A complement to Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals ⋮ Solutions of two problems of H. Brezis

Cites Work

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• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• Approximation of nonlinear semigroups and evolution equations
• Remarks on pseudo-resolvents and infinitesimal generators of semi-groups
• Differential Equations on Closed Subsets of a Banach Space
• Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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