Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842969 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 18 Pages |
Abstract
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 of Bressan, Liu and Yang.
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Authors
Rinaldo M. Colombo, Graziano Guerra,