Weak lower semicontinuity of integral functionals
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- Olech, C. J Optim Theory Appl (1976) 19: 3. doi:10.1007/BF00934048
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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.