Lower Semicontinuity of Weighted Path Length in BV
Paolo Baiti and Alberto Bressan
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.
- Available as PostScript
- Lower Semicontinuity of Weighted Path Length in BV
- Paolo Baiti,
- Alberto Bressan,
- Publishing information:
- Accepted for publication in the book ``Geometrical optics and related
topics'' of the series ``Progress in nonlinear differential equations
and their applications''.
- Submitted by:
November 28 1996.
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Last modified: Thu Nov 28 17:46:50 1996