The general method for solving of the boundary problems for the partial differential equations of any order II
The kinetic transport equation in the case of Compton scattering.
The N-Dimensional Cauchy-Riemann equations.
The non-homogeneous Vekua equation. (L'équation non-homogène de Vekua.)
The space of exponentially decreasing entire functions and its application to solvability
Traces and fine properties of a class of vector fields and applications
Transport equations with partially velocities
We prove the uniqueness of weak solutions for the Cauchy problem for a class of transport equations whose velocities are partially with bounded variation. Our result deals with the initial value problem where is the vector fieldwith a boundedness condition on the divergence of each vector field . This model was studied in the paper [LL] with a regularity assumption replacing our hypothesis. This settles partly a question raised in the paper [Am]. We examine the details of the argument of...