Locally Lipschitz Continuous Perturbations of Linear Dissipative Operators and Nonlinear Semigroups

DOI10.2307/2046144zbMath0617.58011OpenAlexW4234838173MaRDI QIDQ4727063

Tadayasu Takahashi, Shinnosuke Oharu

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046144

zbMATH Keywords

semi-linear evolution equationinfinitesimal generator of a linear contraction semigroup

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Equations in function spaces; evolution equations (58D25)

Related Items

On regularity at \(t=0\) for semilinear ADEs and its numerical applications ⋮ Nonlinear perturbations of analytic semigroups ⋮ Characterization of Nonlinear Semigroups Associated with Semilinear Evolution Equations ⋮ Semilinear Hille-Yosida theory: The approximation theorem and groups of operators ⋮ On the asymptotic behavior of the solutions of semilinear nonautonomous equations ⋮ A generalisation of a theorem of O. Perron for semilinear evolution equations ⋮ Asymptotic behaviour of contraction non-autonomous semi-flows in a Banach space: application to first-order hyperbolic PDEs

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• Invariant sets for perturbed semigroups of linear operators
• Ordinary differential equations in Banach spaces
• Générateurs et semi-groupes dans les espaces de Banach uniformement lisses
• Continuous nonlinear perturbations of linear accretive operators in Banach spaces
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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