Lower semicontinuity of weighted path length in BV
We establish some basic lower semicontinuity properties for a class of weighted metrics in BV. These Riemann-type metrics, uniformly equivalent to the L 1 distance, are defined 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 flow of solutions.
KeywordsManifold Radon lTii
Unable to display preview. Download preview PDF.
- A. Bressan, G. Crasta and B. Piccoli, Well-posedness of the Cauchy problem for n x n systems of conservation laws, preprint S.I.S.S.A., Trieste, 1996.Google Scholar
- L. C. Evans and R. F. Gariepy, “Measure Theory and Fine Properties of Functions”, CRC Press, 1992.Google Scholar