  The paper considers the system of pressureless gas dynamics in one space
dimension. The question of solvability of the initial-boundary value problem is
addressed. Using the method of generalized potentials and characteristic
triangles, extended to the boundary value case, an explicit way of constructing
measure-valued solutions is presented. The prescription of boundary data is
shown to depend on the behavior of the generalized potentials at the boundary.
We show that the constructed solution satisfies an entropy condition and it
conserves mass, whereby mass may accumulate at the boundary. Conservation of
momentum again depends on the behavior of the generalized boundary potentials.
There is a large amount of literature where the initial value problem for the
pressureless gas dynamics model has been studied. To our knowledge, this paper
is the first one which considers the initial-boundary value problem.
