TECHNOLOGY FOR TEACHING STUDENTS TO SOLVE PRACTICE-ORIENTED OPTIMIZATION PROBLEMS IN MATHEMATICS
Article
Eurasia Journal of Mathematics, Science and Technology Education.
Eurasian Society of Educational Research.
Vol. 14.
2018.
Single logarithmic conditional stability in determining unknown boundaries
We prove a conditional stability estimate of log-type for determining unknown boundaries from a single Cauchy data taken on an accessible sub-boundary. Our approach relies on new interior and boundary estimates for elliptic equations which are derived from the Carleman estimate. Stability results for target identification of an acoustic sound-soft scatterer from one or several far-field patterns are also obtained. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
Authors
Elschner J.1
,
Hu G.2
,
Yamamoto M.
3,
4
Journal
Language
English
Status
Published
Link
Year
2018
Organizations
- 1 Weierstrass Institute, Berlin, Germany
- 2 Beijing Computational Science Research Center, Beijing, China
- 3 Department of Mathematical Sciences, University of Tokyo, Tokyo, Japan
- 4 Center of Nonlinear Problems of Mathematical Physics, Peoples' Friendship University of Russia, Moscow, Russian Federation
Keywords
Bo Zhang; Carleman estimate; Conditional stability; elliptic equations; inverse scattering; single Cauchy data
Date of creation
19.10.2018
Date of change
19.10.2018
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Other records
Dalton Transactions.
Royal Society of Chemistry.
Vol. 47.
2018.
P. 3663-3668