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.
|Number of pages||16|
|Journal||Proceedings of the Institute of Mathematics and Mechanics|
|State||Published - 2022|
- differential-operator equation
- elliptic equation
- interpolation spaces
- noncoercive solvability