Journal article
Asymptotic Expansions for the Transmission Eigenvalues of Periodic Scatterers of Bounded Support
Asymptotic analysis, Forthcoming
13 Jan 2026
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Abstract
We consider the transmission eigenvalues for a bounded scatterer with a periodically varying index of refraction, and derive the first-order corrections to the limiting transmission eigenvalues. We assume the scatterer contrast to be of one sign, in which case the transmission eigenvalue problem can be written in terms of operators corresponding to a fourth-order partial differential equation with periodic coefficients. We perform two scale asymptotics for this biharmonic-type homogenization problem and show convergence estimates, which require a boundary corrector function, and this boundary corrector function appears in the formula for the transmission eigenvalues correction.
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Details
- Title
- Asymptotic Expansions for the Transmission Eigenvalues of Periodic Scatterers of Bounded Support
- Creators
- Fioralba Cakoni - Rutgers, The State University of New JerseyShari Moskow (Corresponding Author) - Drexel University
- Publication Details
- Asymptotic analysis, Forthcoming
- Publisher
- SAGE Publications
- Number of pages
- 22
- Grant note
- Division of Mathematical Sciences: 2008441, 2308200, 2406313
The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: F. Cakoni was partially supported by NSF grant no. DMS-24-06313. S. Moskow was partially supported by NSF grant nos. DMS-2008441 and DMS-2308200.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001661157600001
- Other Identifier
- 991022153565404721