Weak lower semicontinuity of integral functionals

  • C. Olech
Contributed Papers

DOI: 10.1007/BF00934048

Cite this article as:
Olech, C. J Optim Theory Appl (1976) 19: 3. doi:10.1007/BF00934048


A lower semicontinuity theorem for integral functionals is proved underL1-strong convergence of the trajectories andL1-weak convergence of the control functions. An alternative statement is also proved under pointwise convergence of the trajectories.

Key Words

Lower semicontinuity integral functionals convexity measurable maps measurable set-valued maps strong convergence weak convergence pointwise convergence epigraph lower closure 

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • C. Olech
    • 1
  1. 1.Institute of MathematicsPolish Academy of SciencesWarsawPoland

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