Premium
Stability estimates for the inverse boundary value problem by partial Cauchy data
Author(s) -
Lai RuYu
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3168
Subject(s) - mathematics , inverse problem , inverse , stability (learning theory) , cauchy distribution , dimension (graph theory) , boundary value problem , boundary (topology) , mathematical analysis , sliced inverse regression , combinatorics , geometry , machine learning , computer science
We study the inverse conductivity problem with partial data in dimension n ≥ 3. We derive stability estimates for this inverse problem if the conductivity hasC 1 , σΩ ¯∩ H3 2 + σ( Ω ) regularity for 0 < σ < 1. Copyright © 2014 John Wiley & Sons, Ltd.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom