Perturbations of regularizing maximal monotone operators

DOI10.1007/BF02761684zbMath0516.34060MaRDI QIDQ1052517

Eric Schechter

Publication date: 1982

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximal monotone operatorsaccretive operatorHilbert spacedissipative operatorcontinuous dependencecompact perturbation

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Monotone operators and generalizations (47H05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Related Items (11)

Topological Equivalence in the Space of Integrable Vector-Valued Functions ⋮ Nonstationary dissipative evolution equations in a Hilbert space ⋮ Existence and relaxation of solutions for evolution differential inclusions with maximal monotone operators ⋮ Extremal Solutions of Evolution Inclusions Associated with Time Dependent Convex Subdifferentials ⋮ Existence theorems for nonlinear evolution equations ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Correction to Perturbations of regularizing maximal monotone operators and a note on injectiveness ⋮ Continuous Dependence of Nonmonotonic Discontinuous Differential Equations ⋮ Correction to Perturbations of regularizing maximal monotone operators and a note on injectiveness ⋮ Necessary and sufficient conditions for convergence of temporally irregular evolutions ⋮ Differential inclusions with nonstationary maximal monotone operators

Cites Work

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• Nonlinear evolution equations - global behavior of solutions
• On multivalued evolution equations in Hilbert spaces
• Evolution Generated by Semilinear Dissipative Plus Compact Operators
• Evolutions governed by m-accretive plus compact operators
• Evolution Generated by continuous Dissipative Plus Compact Operators
• Existence and limits of Carathéodory-Martin evolutions

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