Evolution Inclusions with and without Rough Signals

Charles Castaing; Christiane Godet-Thobie; Manuel D. P. Monteiro Marques; Lionel Thibault

Abstract

The paper studies diverse differential evolution inclusions involving rough signals and governed by time-dependent maximal monotone operators or subdifferentials evaluated at the velocity or the state. Their coupling with fractional order differential equations as well as their corresponding sweeping processes are also considered.

Author information

Contact details are reproduced from the original publication and may be historical.

Charles Castaing

Inst. Montpelliérain A. Grothendieck, Université de Montpellier, Montpellier, France

charles.castaing@gmail.com

Christiane Godet-Thobie

Lab. de Mathématiques de Bretagne Atlantique, Université de Brest, Brest, France

christiane.godet-thobie@univ-brest.fr

Manuel D. P. Monteiro Marques

Departemento de Matematica, Faculdade de Ciencias, Lisboa, Portugal

mdmarques@fc.ul.pt

Lionel Thibault

Inst. Montpelliérain A. Grothendieck, Université de Montpellier, France

lionel.thibault@umontpellier.fr

Keywords

Sweeping process
maximal monotone operator
rough signal
fractional differential inclusion
prox-regular set
Volterra-type integral

Mathematics Subject Classification

34A60, 49I52, 49J53

Suggested citation

C. Castaing, C. Godet-Thobie, M. D. P. Monteiro Marques, L. Thibault. “Evolution Inclusions with and without Rough Signals.” Journal of Convex Analysis 31 (2024), No. 4, 1057–1138.