FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 317-332

On kinetic interpretation of measure valued solutions to Cauchy problem for a first order quasilinear equation

E. Yu. Panov

Abstract

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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).

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Last modified: April 8, 1998