Non-Homogeneous Boundary Value Problems and Applications

1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj'' 0 ~ i ~ ''V. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj'' 0 ~ i ~ ''v, be given in function space s F and G , F being a space" on m" and the...