Geodesic
The Cauchy problem for a~first-order quasilinear equation in the class of Besicovitch almost periodic functions
Sbornik. Mathematics, Tome 208 (2017) no. 8, pp. 1207-1224

Voir la notice de l'article provenant de la source Math-Net.Ru

The existence and uniqueness of a generalized entropy solution in the class of Besicovitch almost periodic functions is proved for the Cauchy problem for a multidimensional inhomogeneous quasilinear equation of the first order. Bibliography: 12 titles.
Keywords: first order quasilinear equation, generalized entropy solution, Besicovitch almost periodic function, spectrum. 
@article{SM_2017_208_8_a5,
     author = {E. Yu. Panov},
     title = {The {Cauchy} problem for a~first-order quasilinear equation in the class of {Besicovitch} almost periodic functions},
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     url = {http://geodesic.mathdoc.fr/item/SM_2017_208_8_a5/}
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E. Yu. Panov. The Cauchy problem for a~first-order quasilinear equation in the class of Besicovitch almost periodic functions. Sbornik. Mathematics, Tome 208 (2017) no. 8, pp. 1207-1224. http://geodesic.mathdoc.fr/item/SM_2017_208_8_a5/