Abstract
In a separable Hilbert space H, solvability of boundary value problems for a second order elliptic differential-operator equation with quadratic complex parameter is investigated. The complex parameter enters linearly into a boundary condition and the boundary conditions are non-separable. An application of the obtained abstract results to elliptic boundary value problems is given.
Original language | English |
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Pages (from-to) | 190-205 |
Number of pages | 16 |
Journal | Proceedings of the Institute of Mathematics and Mechanics |
Volume | 48 |
Issue number | 2 |
DOIs | |
State | Published - 2022 |
Keywords
- differential-operator equation
- elliptic equation
- interpolation spaces
- isomorphism
- noncoercive solvability