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Multiple periodic solutions of second order equations with asymmetric nonlinearities
January
1997, 3(1): 35-58.
doi: 10.3934/dcds.1997.3.35
Shift-differentiabilitiy of the flow generated by a conservation law
| 1. | S.I.S.S.A., Via Beirut, 2-4, 34014 Trieste |
| 2. | Dipartimento di Scienze dell'Ambeinte e del Territorio, Via L. Emanueli, 15 Bicocca, 20126 Milano, Italy |
The paper introduces a notion of "shift-differentials" for maps with values in the space BV. These differentials describe first order variations of a given function $u$, obtained by horizontal shifts of the points of its graph. The flow generated by a scalar conservation law is proved to be generically shift-differentiable, according to the new definition.
Mathematics Subject Classification:
35L6.
Citation:
Alberto Bressan, Graziano Guerra. Shift-differentiabilitiy of the flow generated by a conservation law. Discrete & Continuous Dynamical Systems - A,
1997, 3
(1)
: 35-58.
doi: 10.3934/dcds.1997.3.35
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