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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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