Convergence and approximation of semigroups of Lipschitz operators

DOI10.1016/j.na.2005.01.040zbMath1078.47023OpenAlexW2055029937MaRDI QIDQ1775880

Naoki Tanaka, Yoshikazu Kobayashi

Publication date: 4 May 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.040

zbMATH Keywords

strong convergenceinfinitesimal generatorsemigroups of Lipschitz operators

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Applications of operator theory in numerical analysis (47N40)

Related Items (4)

A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations ⋮ A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type ⋮ A Trotter-Kato type result for a second order difference inclusion in a Hilbert space ⋮ Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals

Cites Work

• Approximation of semi-groups of operators
• A remark on convergence of nonlinear semigroups
• Convergence and approximation of nonlinear semigroups
• A nonlinear Hille-Yosida theorem in Banach spaces
• Note on product formulas for operator semigroups
• Extensions of Trotter's operator semigroup approximation theorems
• Approximation of semi-groups of nonlinear operators
• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• Nonlinear partial differential equations in engineering. Vol. II
• On product formulas for nonlinear semigroups
• Product formulas and numerical algorithms
• Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics
• Semigroups of Lipschitz operators.
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