Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals

DOI10.1016/j.jmaa.2019.123406OpenAlexW2967385829MaRDI QIDQ2325947

Naoki Tanaka

Publication date: 4 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123406

zbMATH Keywords

stabilityconsistencycomparison functionChernoff's product formuladissipativity with respect to metric-like functionalsemigroup of locally Lipschitz operators

Mathematics Subject Classification ID

Operator theory (47-XX) Partial differential equations (35-XX)

Related Items (1)

Mutational analysis with transitions whose domains vary in state and that are not necessarily Lipschitz continuous in time

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local minimization, variational evolution and \(\Gamma\)-convergence
• The abstract Cauchy problem for dissipative operators with respect to metric-like functionals
• A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type
• Approximation of semi-groups of operators
• A complement to Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals
• Solutions of two problems of H. Brezis
• Product formula for nonlinear contraction semigroups in Banach spaces
• Product formulas, nonlinear semigroups, and accretive operators
• Convergence and approximation of nonlinear semigroups
• A nonlinear Hille-Yosida theorem in Banach spaces
• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• Nonlinear evolution equations in an arbitrary Banach space
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Global solutions of abstract quasi-linear evolution equations of ``hyperbolic type
• A class of second order quasilinear evolution equations
• On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
• Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
• Convergence and approximation of semigroups of Lipschitz operators
• Sufficient conditions on the forcing terms for the global solvability of dissipative Kirchhoff equations
• Note on product formulas for operator semigroups
• Nonlinear semigroups in Hilbert space
• Extensions of Trotter's operator semigroup approximation theorems
• Nonlinear partial differential equations in engineering
• Approximation of semi-groups of nonlinear operators
• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• On product formulas for nonlinear semigroups
• A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations
• On some quasilinear wave equations with dissipative terms
• Product formulas and numerical algorithms
• Convergence, resolvent consistency, and the fixed point property for nonexpansive mappings
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Semigroups of Lipschitz operators.

This page was built for publication: Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals