FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

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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