Classical functionals for spectral synthesis with discontinuous trial functions
Paul T. Nelson, Arun K. Mitra · Transport Theory and Statistical Physics · 1977
Pomraning2 introduced the variational principle of Roussopoulos3 into transport theory. Nelson4 presented a Generalized Roussopoulos Principle (GRP) suitable for discontinuous trial functions, and initiated a program of systematically using this principle to derive various types of functionals. In Ref. 4 the GRP was used to obtain functionals admitting trial functions con- taining an interface value which is independent of the limiting values from either side. Our purpose in this work is to continue the program initiated in Ref. 4 by applying the GFP to functionals of classical type, by which we mean functionals in which there are no approximations at an interface other than the limiting values from either side.