On the Maxwell and Friedrichs/Poincaré constants in ND
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We prove that for bounded and convex domains in arbitrary dimensions, the Maxwell constants are bounded from below and above by Friedrichs’ and Poincaré’s constants, respectively. Especially, the second positive Maxwell eigenvalues in ND are bounded from below by the square root of the second Neumann-Laplace eigenvalue.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 957-987 |
| Number of pages | 31 |
| Journal | Mathematische Zeitschrift |
| Volume | 293 |
| Issue number | 3-4 |
| Publication status | Published - Dec 2019 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0003-4155-7297/work/145224261 |
|---|---|
| WOS | 000495574800004 |
Keywords
ASJC Scopus subject areas
Keywords
- Electro statics, Friedrichs constant, Friedrichs inequality, Magneto statics, Maxwell constant, Maxwell’s equations, Poincaré constant, Poincaré inequality, Second Maxwell eigenvalue