Characterization of Nonlinear Semigroups Associated with Semilinear Evolution Equations

DOI10.2307/2001143zbMath0679.58011OpenAlexW4249247780MaRDI QIDQ4729045

Tadayasu Takahashi, Shinnosuke Oharu

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001143

zbMATH Keywords

nonlinear semigroupssemilinear evolution equationssemilinear Hille- Yosida Theorem

Mathematics Subject Classification ID

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

Related Items (11)

Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type ⋮ Nonlinear perturbations of analytic semigroups ⋮ Semilinear Hille-Yosida theory: The approximation theorem and groups of operators ⋮ On the asymptotic behavior of the solutions of semilinear nonautonomous equations ⋮ Semigroups of locally Lipschitz operators associated with semilinear evolution equations ⋮ A generalisation of a theorem of O. Perron for semilinear evolution equations ⋮ On mild solutions of gradient systems in Hilbert spaces ⋮ Mutational analysis with transitions whose domains vary in state and that are not necessarily Lipschitz continuous in time ⋮ A viability theorem of stochastic semilinear evolution equations ⋮ A Principle of Linearized Stability for Nonlinear Evolution Equations ⋮ Global solutions of abstract quasi-linear evolution equations of ``hyperbolic type

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