On Maxwell's and Poincaré's constants
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We prove that for bounded and convex domains in three dimensions, the Maxwell constants are bounded from below and above by Friedrichs' and Poincaré's constants. In other words, the second Maxwell eigenvalues lie between the square roots of the second Neumann-Laplace and the first Dirichlet-Laplace eigenvalue.
Details
| Original language | English |
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| Pages (from-to) | 607-618 |
| Number of pages | 12 |
| Journal | Discrete and Continuous Dynamical Systems - Series S |
| Volume | 8 |
| Issue number | 3 |
| Publication status | Published - 1 Jun 2015 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0003-4155-7297/work/145224250 |
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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