Abstract
In a separable Hilbert space H, we study solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter. The parameter enters into the equation and boundary conditions. In addition to the complex parameter, the boundary conditions contain linear operators as well, one of which is unbounded. Application of the obtained abstract results to elliptic boundary value problems is given.
Original language | English |
---|---|
Pages (from-to) | 309-326 |
Number of pages | 18 |
Journal | Proceedings of the Institute of Mathematics and Mechanics |
Volume | 47 |
Issue number | 2 |
DOIs | |
State | Published - 2021 |
Keywords
- Differential-operator equation
- Elliptic equation
- Fourier transform
- Hilbert space
- Interpolation spaces
- Isomorphism