Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 3-18
Citer cet article
É. B. Bykhovskii. A uniqueness theorem for a generalized solution of a system of two quasilinear equations in the class of bounded, measurable functions. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 3-18. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a0/
@article{ZNSL_1977_69_a0,
author = {\'E. B. Bykhovskii},
title = {A uniqueness theorem for a generalized solution of a system of two quasilinear equations in the class of bounded, measurable functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {3--18},
year = {1977},
volume = {69},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a0/}
}
TY - JOUR
AU - É. B. Bykhovskii
TI - A uniqueness theorem for a generalized solution of a system of two quasilinear equations in the class of bounded, measurable functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 3
EP - 18
VL - 69
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a0/
LA - ru
ID - ZNSL_1977_69_a0
ER -
%0 Journal Article
%A É. B. Bykhovskii
%T A uniqueness theorem for a generalized solution of a system of two quasilinear equations in the class of bounded, measurable functions
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 3-18
%V 69
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a0/
%G ru
%F ZNSL_1977_69_a0
A theorem is formulated and proved regarding the uniqueness of a generalized solution of Cauchy's for a hyperbolic system consisting of two first-order quasilinear equations with one spatial variable. Admissible solutions are bounded, measurable functions satisfying an additional condition of entropy type.
