International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 4, Pages 201-213
doi:10.1155/S0161171202005860
Abstract
We prove the existence, uniqueness, and the continuous dependence
of a generalized solution upon the data of certain parabolic and
hyperbolic equations with a boundary integral condition. The proof
uses a functional analysis method based on a priori estimates
established in nonclassical function spaces, and on the
density of the range of the linear operator associated to the
abstract formulation of the studied problem.