Mathematics – Analysis of PDEs
Scientific paper
2007-04-19
Mathematics
Analysis of PDEs
26 pages
Scientific paper
This note is devoted to the explicit construction of a functional defined on
all pairs of $\L1$ functions with small total variation, which is equivalent to
the $\L1$ distance and non increasing along the trajectories of a given system
of conservation laws. Two different constructions are provided, yielding an
extension of the original stability functional by Bressan, Liu and Yang.
Colombo Rinaldo M.
Guerra Graziano
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