Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 317-332
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E. Yu. Panov. On kinetic interpretation of measure valued solutions to Cauchy problem for a first order quasilinear equation. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 317-332. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a21/
@article{FPM_1998_4_1_a21,
author = {E. Yu. Panov},
title = {On kinetic interpretation of measure valued solutions to {Cauchy} problem for a first order quasilinear equation},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {317--332},
year = {1998},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a21/}
}
TY - JOUR
AU - E. Yu. Panov
TI - On kinetic interpretation of measure valued solutions to Cauchy problem for a first order quasilinear equation
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 317
EP - 332
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a21/
LA - ru
ID - FPM_1998_4_1_a21
ER -
%0 Journal Article
%A E. Yu. Panov
%T On kinetic interpretation of measure valued solutions to Cauchy problem for a first order quasilinear equation
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 317-332
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a21/
%G ru
%F FPM_1998_4_1_a21
In terms of a distribution function we give kinetic interpretation of a measure valued solution to Cauchy problem for a first order quasilinear equation. The known results concerning generalized solutions (in the class $L^\infty$) of the considered problem are thus generalized. Besides we describe “kinetic” solutions corresponding to strong measure valued solutions (which form a class of existence and uniqueness for original problem).
