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Approximation in norm and energy with bounded functions for autonomous variational problems

Bousquet, Pierre et al.
arXiv (All) · Papers
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49j45optimization-and-control
We study the approximation of finite-energy Sobolev functions by bounded Sobolev functions for integral functionals associated with possibly signed Carathéodory integrands. The approximating sequence is required to converge strongly in the Sobolev space, while the corresponding energy densities conv
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