A compact evolution operator generated by a nonlinear time-dependent \(m\)-accretive operator in a Banach space

DOI10.1007/BF01444503zbMath0864.47042OpenAlexW2036939925MaRDI QIDQ1898140

Athanassios G. Kartsatos

Publication date: 3 June 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165339

zbMATH Keywords

infinite family of nonlinear compact evolution operators

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Functional-differential equations in abstract spaces (34K30) Linear accretive operators, dissipative operators, etc. (47B44)

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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
• Nonlinear evolution equations in an arbitrary Banach space
• Nonlinear semigroups and evolution equations
• Evolutions governed by m-accretive plus compact operators
• On the Compactness of the Nonlinear Evolution Operator in a Banach Space
• Compact Perturbations of m-Accretive Operators in General Banach Spaces
• Maximal monotone operators in nonreflexive Banach spaces and nonlinear integral equations of Hammerstein type
• Solvability of functional evolutions via compactness methods in general Banach spaces
• On the Compactness of the Evolution Operator Generated by Certain Nonlinear Ω-Accretive Operators in General Banach Spaces
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Nonlinear evolution equations in Banach spaces
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