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Discrete & Continuous Dynamical Systems - S
Article . 2014 . Peer-reviewed
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Discrete & Continuous Dynamical Systems - S
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Article . 2014
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https://dx.doi.org/10.3934/dcd...
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Solvability of nonlinear evolution equations generated by subdifferentials and perturbations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete & Continuous Dynamical Systems - S, volume 7, pages 75-93 (issn: 1937-1179, Copyright policy )
Authors: Kano, Risei; Murase, Yusuke;

doi: 10.3934/dcdss.2014.7.75

Solvability of nonlinear evolution equations generated by subdifferentials and perturbations

Abstract

Under some assumptions, the authors obtain a local time solvability result by Schauder's fixed point theorem and a global time solvability result by Zorn's Lemma for the Cauchy problem of a nonlinear evolution equation: \(u'(t)+\partial \varphi^t(u;u(t))+G(u(t))\ni f(t)\) (\(0

Related Organizations
Keywords

differential equation, Variational and other types of inequalities involving nonlinear operators (general), nonlocal constraints, quasi-variational inequality, evolution equation, subdifferential, Nonlinear evolution equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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