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- W2739465615 abstract "We consider the Cauchy problem for a multidimensional scalar conservation law and construct an outer estimate for the domain of dependence of its Kruzkov solution. The estimate can be represented as the controllability set of a specific differential inclusion. In addition, reachable sets of this inclusion provide outer estimates for the support of the wave profiles. Both results follow from a modified version of the classical Kruzkov uniqueness theorem, which we also present in the paper. Finally, the results are applied to a control problem consisting in steering a distributed quantity to a given set." @default.
- W2739465615 created "2017-07-31" @default.
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- W2739465615 date "2017-07-24" @default.
- W2739465615 modified "2023-09-27" @default.
- W2739465615 title "Estimates of the Domain of Dependence for Scalar Conservation Laws" @default.
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