Green function solution of generalised boundary value problems
- We construct an expression for the Green function of a differential operator satisfying nonlocal, homogeneous boundary conditions starting from the fundamental solution of the differential operator. This also provides the solution to the boundary value problem of an inhomogeneous partial differential equation with inhomogeneous, nonlocal boundary conditions. The construction applies for a broad class of linear partial differential equations and linear boundary conditions.
| Author details: | Vanik E. Mkrtchian, Carsten HenkelORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1016/j.physleta.2020.126573 |
| ISSN: | 0375-9601 |
| ISSN: | 1873-2429 |
| ISSN: | 0031-9163 |
| Title of parent work (English): | Physics Letters A |
| Publisher: | Elsevier |
| Place of publishing: | Amsterdam |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/08/17 |
| Publication year: | 2020 |
| Release date: | 2023/06/01 |
| Tag: | Boundary value problem; Green function |
| Volume: | 384 |
| Issue: | 23 |
| Article number: | 126573 |
| Number of pages: | 5 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
