Generation and characterization of locally Lipschitzian semigroups associated with semilinear evolution equations

DOI10.32917/HMJ/1151511153zbMath0999.47048OpenAlexW2118525203WikidataQ128872696 ScholiaQ128872696MaRDI QIDQ5935596

Shinnosuke Oharu, Paul Georgescu

Publication date: 2 December 2002

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1151511153

zbMATH Keywords

discrete schemesgeneration theoremslinear \(C_0\)-semigroupnonlinear locally Lipschitzian semigroupquasi-dissipative conditionrange conditionsemilinear evolution equationsemilinear Hille-Yosida theoremsemilinear stability conditionsubtangential condition

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) One-parameter semigroups and linear evolution equations (47D06) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

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Semigroups of locally Lipschitz operators associated with semilinear evolution equations ⋮ Flow invariance for semilinear evolution equations under generalized dissipativity conditions

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