Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization

By Roberto Cominetti, Juan Peypouquet, Sylvain Sorin. 2008

83 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f4d631f3b53cdc7a52b8e94dc885da5bee4635fd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Boushra Abbas
2. Paul-Emile Maingé
3. Hédy Attouch

In Computational Theory and Mathematics

1. Paul-Emile Maingé
2. Hédy Attouch
3. Boushra Abbas
4. Marc-Olivier Czarnecki
5. Yekini Shehu
6. Ernö Robert Csetnek
7. Duong Viet Thong
8. Radu Ioan Bot

In Mathematical Physics

1. Paul-Emile Maingé
2. Boushra Abbas
3. Hédy Attouch
4. Marc-Olivier Czarnecki
5. Yekini Shehu
6. Prasit Cholamjiak
7. Wotao Yin
8. Jérôme Bolte

Citations in the corpus

• ASYMPTOTIC BEHAVIOR OF SECOND-ORDER DISSIPATIVE EVOLUTION EQUATIONS COMBINING POTENTIAL WITH NON-POTENTIAL EFFECTS ∗ (2009, background): “1, we recover various results which have been devoted to the Tikhonov dynamics, see [10,24] and the references therein.”
• Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator (2014, background): “There is an extensive literature on this topic, see [5], [6], [17], [23], [24], [28], [32], [35], [39], and references therein.”
• Asymptotic behavior of coupled dynamical systems with multiscale aspects (2009, background): “Among the many papers devoted to (SDC)ε and related systems, let us mention [5], [22], [18], [16].”