Evolution Equations for Maximal Monotone Operators: Asymptotic Analysis in Continuous and Discrete Time

Juan Peypouquet*, Sylvain Sorin

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

67 Citaten (Scopus)

Samenvatting

This survey is devoted to the asymptotic behavior of solutions of evolution equations generated by maximal monotone operators in Hilbert spaces. The emphasis is in the comparison of continuous time trajectories to sequences generated by implicit or explicit discrete time schemes. The analysis covers weak convergence for the average process, for the process itself and strong convergence. The aim is to highlight the main ideas and unifying the proofs. Furthermore the connection is made with the analysis in terms of almost orbits that allows for a broader scope.

Originele taal-2English
Pagina's (van-tot)1113-1163
Aantal pagina's51
TijdschriftJournal of Convex Analysis
Volume17
Nummer van het tijdschrift3-4
StatusPublished - 2010
Extern gepubliceerdJa

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