Y. Rozanov et F. Sanso, The analysis of the Neumann and the oblique derivative problem: the theoryof regularization and its stochastic version, J GEODESY, 75(7-8), 2001, pp. 391-398
Following a detailed analysis of the weak solution of Neumann and oblique d
erivative problems [Rozanov and Sanso (1999). The analysis of the Neumann a
nd the oblique derivative problem. Weak theory], here the so-called regular
ization theory is presented. The result, which is already known in mathemat
ical literature, is obtained via a so-called Ladyzenskaya identity, which i
s a very interesting tool in itself. The analysis of the stochastic version
s of the same problems is tackled and solved. In so doing, the question of
the equivalence between different definitions of generalized random fields
is also analyzed.