9 research outputs found

    The Parker problem:existence of smooth force-free fields and coronal heating

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    Optimal Control Involving Sweeping Processes

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    Author's personal copyWe present existence of solution and necessary conditions for an optimal control problem with a particular case of sweeping processes with constant sweeping set. Using a sequence of approximating problems we prove existence of solution and necessary conditions. The special feature of our approach resides on the nature of the approximating problems: in contrast with other literature these problems do not rely on distance functions to the sweeping set.FEDER funds through COMPETE and Portuguese funds through the Portuguese Foundation for Science and Technology (FCT), within the projects PTDC/EEI-AUT/2933/2014 TOCCATTA and POCI-01-0145-FEDER-006933 - SYSTE

    Graded Subdifferentials, Ioffe Subdifferentials

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