L ∞ Stationary Solutions to Non Homogeneous Conservation Laws
Résumé
Stationary solutions, besides being relevant on their own, play a key role in a variety of analytic techniques related to conservation laws. Here, we present the construction of a (partial) foliation of stationary solutions to scalar conservation laws with x dependent fluxes. Differently from what happens in the x independent case, here solutions are in only bounded, no bound on the total variation is to be expected, and all discontinuities are entropy admissible.
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