Larsen, Christopher J.
A compactness result is proved for SBV, the space of special functions of bounded variation. It is shown that a sequence of functions of SBV on an open, bounded domain with Lipschitz boundary with three quantities bounded will have a subsequence that weakly converges in BV to a function that is also in SBV. This theorem has implications for the existence of desired solutions in problems from the calculus of variations.
Worcester Polytechnic Institute
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