Signed Radon measure-valued solutions of flux saturated scalar conservation laws
classification
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keywords
classconservationfluxmeasure-valuedproblemproveradonscalar
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We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz continuous and bounded. The solution class is determined by an additional condition which is needed to prove uniqueness.
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