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Weak lower semicontinuity of integral functionals |
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| Authors: | C. Olech |
| Affiliation: | (1) Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland |
| Abstract: | 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. |
| Keywords: | Lower semicontinuity integral functionals convexity measurable maps measurable set-valued maps strong convergence weak convergence pointwise convergence epigraph lower closure |
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