Semilinear Hille-Yosida theory: The approximation theorem and groups of operators

DOI10.1016/0362-546X(89)90057-6zbMath0695.47061MaRDI QIDQ3471107

Jerome A. Goldstein, Shinnosuke Oharu, Tadayasu Takahashi

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

linear \((C_ 0)\) contraction semigrouplocally Lipschitzian group of operatorsmild solutions to the semilinear Cauchy problemtheorems of Hille-Yosida type

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Groups and semigroups of linear operators (47D03)

Related Items (3)

On regularity at \(t=0\) for semilinear ADEs and its numerical applications ⋮ Nonlinear perturbations of analytic semigroups ⋮ Flow invariance for semilinear evolution equations under generalized dissipativity conditions

Cites Work

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