Duality Theory for Nth Order Differential Operators Under Stieltjes Boundary Conditions. II: Nonsmooth Coefficients and Nonsingular Measures.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Adjoint relations are characterized for an nth 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 L sup p integrable functions. This is done by developing an abstract theory of normally solvable linear relations and by constructing a compact partial inverse generalized Greens matrix for the operator. Author
- Theoretical Mathematics