Maximal accretive singular quasi-differential operators
Maximal accretive singular quasi-differential operators
In this paper firstly all maximal accretive extensions of the minimal operator generated by a first order linear singular quasi-differential expression in the weighted Hilbert space of vector-functions on right semi-axis are described. Later on, the structure of spectrum set of these extensions has been researched.
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- Gorbachuk, V.I and Gorbachuk, M.I. Boundary Value Problems for Operator Differential
Equations, Kluwer Academic Publisher, Dordrecht, 1991.
- Hörmander, L. On the Theory of General Partial Differential Operators, Acta Math. 94
(1), 161-248, 1955.
- Kato, T. Perturbation Theory for Linear Operators, Springer-Verlag Inc., New York, 1966,
592 pp.
- Levchuk, V.V. Smooth Maximally Dissipative Boundary-Value Problems for a Parabolic
Equation in a Hilbert Space, Ukrainian Math. J. 35 (4), 502-507, 1983.