Summary
Adjoint relations are characterized for an n-th order vector valued differential system with nonsmooth coefficients and with boundary conditions represented by Stieltjes measures of bounded variation when the system is viewed as an operator with domain and range in a space of Lp integrable functions. This is done by developing an abstract theory of « normally sovable » linear relations and by constructing a compact partial inverse (generalized Green’s matrix) for the operator.
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Entrata in Redazione il 22 luglio 1974.
Sponsored by the United States Army under Contract no. DA-31-124-ARO-D-462.
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Brown, R.C. Duality theory forN-th order differential operators under stieltjes boundary ponditions. II: Nonsmooth coefficients and nonsingular measures. Annali di Matematica 105, 141–170 (1975). https://doi.org/10.1007/BF02414927
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DOI: https://doi.org/10.1007/BF02414927