On Scattering Behavior of Corner Domains with Anisotropic Inhomogeneities
Year of publication
2024
Authors
Kow, Pu-Zhao; Salo, Mikko; Shahgholian, Henrik
Abstract
This paper investigates the possible scattering and nonscattering behavior of an anisotropic and inhomogeneous Lipschitz medium at a fixed wave number and with a single incident field. We connect the anisotropic nonscattering problem to a Bernoulli type free boundary problem. By invoking methods from the theory of free boundaries, we show that an anisotropic medium with Lipschitz but not 𝐶1,𝛼 boundary scatters every incident wave that satisfies a nondegeneracy condition.
Show moreOrganizations and authors
University of Jyväskylä
Salo Mikko 
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal/Series
Volume
56
Issue
4
Pages
4834-4853
ISSN
Publication forum
Publication forum level
3
Open access
Open access in the publisher’s service
No
Self-archived
Yes
Other information
Fields of science
Mathematics
Keywords
[object Object]
Publication country
United States
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1137/23M1603029
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes