Dynamical systems and variational problems

Schedule

Mondays 10h00 – 13h00, Room F265, Valparaíso Campus

 

Content

Monotone operator theory

Evolution equations governed by maximally monotone operators

Other continuous-time dynamical systems

Proximal point algorithm and Euler’s (forward) scheme

Asymptotic equivalence

 

Bibliography

H Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. North-Holland Publishing Co., Amsterdam-London, 1973

J Peypouquet, S Sorin, Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time. J. Convex Anal. 17 (2010), no. 3-4, 1113–1163 [PDF]