(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

View as HTML     View as gif image    View as LaTeX source

 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). 

All articles are published in Russian.

 Main page Editorial board Instructions to authors Contents of the journal

Location: http://mech.math.msu.su/~fpm/eng/98/981/98122t.htm