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
and: CNRS UMR 5149, France

charles.castaing@gmail.com

Manuel D. P. Monteiro Marques

Departemento de Matematica, Faculdade de Ciencias, Lisboa, Portugal

mdmarques@fc.ul.pt

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. https://doi.org/10.68381/jca31054

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Published by Heldermann Verlag, 2024. Rights now held by Banach Press.