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Discontinuous elliptic problems in $R^N$: Lower and upper solutions and variational principles
On the shift differentiability of the flow generated by a hyperbolic system of conservation laws
1. | S.I.S.S.A. (I.S.A.S.), Via Beirut 2/4, 34013 Trieste, Italy |
In this paper, using a simple decomposition of $u\in $BV in terms of its derivative, we extend the results of [9] and we give a unified definition of shift tangent vector, valid both in the scalar and vector case. This extension allows us to study the shift differentiability of the flow generated by a hyperbolic system of conservation laws.
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