Geodesic
An approximation scheme for measure-valued solutions of a~first-order quasilinear equation
Sbornik. Mathematics, Tome 188 (1997) no. 1, pp. 87-113

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

A kinetic definition of a measure-valued solution of the Cauchy problem for a first-order quasilinear equation is presented. Using a suitable approximation of the right-hand side of the corresponding kinetic equation a family of equations is constructed. The unique solubility of Cauchy problems for these equations and the convergence (after possibly going over to a subsequence) of the resulting sequence of solutions to a generalized solution of the original problem are established. 
@article{SM_1997_188_1_a4,
     author = {E. Yu. Panov},
     title = {An approximation scheme for measure-valued solutions of a~first-order quasilinear equation},
     journal = {Sbornik. Mathematics},
     pages = {87--113},
     publisher = {mathdoc},
     volume = {188},
     number = {1},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_1_a4/}
}
TY  - JOUR
AU  - E. Yu. Panov
TI  - An approximation scheme for measure-valued solutions of a~first-order quasilinear equation
JO  - Sbornik. Mathematics
PY  - 1997
SP  - 87
EP  - 113
VL  - 188
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1997_188_1_a4/
LA  - en
ID  - SM_1997_188_1_a4
ER  - 
%0 Journal Article
%A E. Yu. Panov
%T An approximation scheme for measure-valued solutions of a~first-order quasilinear equation
%J Sbornik. Mathematics
%D 1997
%P 87-113
%V 188
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1997_188_1_a4/
%G en
%F SM_1997_188_1_a4
E. Yu. Panov. An approximation scheme for measure-valued solutions of a~first-order quasilinear equation. Sbornik. Mathematics, Tome 188 (1997) no. 1, pp. 87-113. http://geodesic.mathdoc.fr/item/SM_1997_188_1_a4/