Geodesic
On Locally Bounded Solutions of the Cauchy Problem for a First-Order Quasilinear Equation with Power Flux Function
Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 191-199

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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.
Keywords: first-order quasilinear equation, generalized entropy solution, conservation law. 
@article{MZM_2018_104_2_a3,
     author = {L. V. Gargyants},
     title = {On {Locally} {Bounded} {Solutions} of the {Cauchy} {Problem} for a {First-Order} {Quasilinear} {Equation} with {Power} {Flux} {Function}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {191--199},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a3/}
}
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L. V. Gargyants. On Locally Bounded Solutions of the Cauchy Problem for a First-Order Quasilinear Equation with Power Flux Function. Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 191-199. http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a3/