On the transient acoustic scattering by a flat object.

This paper deals with the transient acoustic scattering in the particular geometry of a flat objet (crack) in R . The boundary integral for the 'crack opening displacement' is studied as a spatial pseudo-differential equation with the frequency variable as a parameter. Existence, Uniqueness and Continuous dependence of the solution with respect to the data are obtained in the framework of Sobolev spaces of causal functions. [ABSTRACT FROM AUTHOR]