Weak lower semicontinuity of integral functionals
- C. Olech
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A lower semicontinuity theorem for integral functionals is proved underL 1-strong convergence of the trajectories andL 1-weak convergence of the control functions. An alternative statement is also proved under pointwise convergence of the trajectories.
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- Weak lower semicontinuity of integral functionals
Journal of Optimization Theory and Applications
Volume 19, Issue 1 , pp 3-16
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers-Plenum Publishers
- Additional Links
- Lower semicontinuity
- integral functionals
- measurable maps
- measurable set-valued maps
- strong convergence
- weak convergence
- pointwise convergence
- lower closure
- Industry Sectors
- C. Olech (1)
- Author Affiliations
- 1. Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland