Inverse Scattering for Schrödinger-Type Operators with Interface Conditions Across Smooth Surfaces

Autor:	Stephen O'Dell
Rok vydání:	2008
Předmět:	Surface (mathematics) Scattering amplitude Computational Mathematics Operator (computer programming) Applied Mathematics Inverse scattering problem Mathematical analysis Boundary (topology) Boundary value problem Uniqueness Scattering theory Analysis Mathematics
Zdroj:	SIAM Journal on Mathematical Analysis. 39:1595-1626
ISSN:	1095-7154 0036-1410
Popis:	We consider direct and inverse scattering for the Laplace–Beltrami operator with electromagnetic potentials in domains with smooth surfaces upon which we impose interface conditions. The boundary conditions used encompass physical models of imperfect transmission arising in acoustics, quantum scattering, semiconductors, and geophysics. We prove uniqueness of the location of the surfaces and the interface conditions from the fixed-energy scattering amplitude. If the surface encloses a compact region, we also prove uniqueness of the Dirichlet-to-Neumann operator at the boundary of the obstacle.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6778feee2c51f1a39da420cc16dc45e2 https://doi.org/10.1137/060675198 Zobrazit plný text záznamu Plný text ve formátu PDF