Functional evolution equations involving time dependent maximal monotone operators in Banach spaces

DOI10.1016/0362-546X(84)90079-8zbMath0564.47024OpenAlexW2064248409MaRDI QIDQ3678240

Athanassios G. Kartsatos, Mary E. Parrott

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90079-8

zbMATH Keywords

Lipschitz conditionevolution problemcoercive maximal monotone operatorsglobal Lipschitz continuousRothe's method of lines for approximating parabolic equationsspace of piecewise continuous functions

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Monotone operators and generalizations (47H05)

Related Items (2)

Convergence of proximal solutions for evolution inclusions with time-dependent maximal monotone operators ⋮ Differential inclusions with nonstationary maximal monotone operators

Cites Work

• An abstract Volterra integral equation in a reflexive Banach space
• Convergence of the Kato approximants for evolution equations involving functional perturbations
• Rothe's method and weak solutions of perturbed evolution equations in reflexive Banach spaces
• A Method of Lines for a Nonlinear Abstract Functional Evolution Equation
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