Non-Homogeneous Boundary Value Problems and Applications

The book explores non-homogeneous boundary value problems involving linear differential operators within open subsets of R. It establishes a framework for seeking unique solutions that continuously depend on given function spaces. The focus is on determining families of function spaces and their associations, which are deemed "natural" for the problem at hand. The work emphasizes the flexibility in choosing function spaces and boundary conditions, making it a valuable resource for applications in mathematical analysis and differential equations.