Well-posedness of nonautonomous abstract Cauchy problems under dissipativity conditions expressed by metric-like functionals

DOI10.1016/j.jmaa.2024.128754MaRDI QIDQ6626999

Naoki Tanaka

Publication date: 29 October 2024

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

zbMATH Keywords

subtangential conditionevolution operatorscomparison functionnonautonomous evolution equationdissipativity condition expressed by a metric-like functionalKōmura's conjecture

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• Well-posedness of non-autonomous linear evolution equations for generators whose commutators are scalar
• The abstract Cauchy problem for dissipative operators with respect to metric-like functionals
• Operator splitting for non-autonomous evolution equations
• Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces
• Nonlinear evolution operators in Banach spaces
• Linear evolution equations of non-parabolic type with variable domains
• Singular perturbation and boundary layer for an abstract Cauchy problem
• Nonlinear evolution equations in an arbitrary Banach space
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Nonlinear semigroups in Hilbert space
• Generating an evolution system in a class of uniformly convex Banach spaces
• Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces
• Yosida approximation and nonlinear hyperbolic equation
• Linear evolution equations and a mixed problem for singular or degenerate wave equations
• Nonlinear evolution equations governed by f-quasi-dissipative operators
• On some quasilinear wave equations with dissipative terms
• Differential Equations on Closed Subsets of a Banach Space
• Differential Equations on Closed Subsets of a Banach Space
• Nonautonomous abstract Cauchy problems for strongly measurable families
• Characterization of Nonlinear Semigroups Associated with Semilinear Evolution Equations
• Viability theory
• Nonlinear evolution equations in Banach spaces
• Semigroups of Lipschitz operators.

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