Lower Semicontinuity of Weighted Path Length in Bv
نویسنده
چکیده
We establish some basic lower semicontinuity properties for a class of weigthed metrics in BV. These Riemann-type metrics, uniformly equivalent to the L 1 distance, are deened in terms of the Glimm interaction potential. They are relevant in the study of nonlinear hyperbolic systems of conservation laws, being contractive w.r.t. the corresponding ow of solutions.
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