On Locally Bounded Solutions of the Cauchy Problem for a First-Order Quasilinear Equation with Power Flux Function


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For a first-order quasilinear equation with power flux function, a generalized entropy solution of the Cauchy problem with exponential initial condition is constructed. An example of a nonunique generalized entropy solution in the class of locally bounded functions of the Cauchy problem with zero initial condition is given.

作者简介

L. Gargyants

Lomonosov Moscow State University; Bauman Moscow State Technical University

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