TY - JOUR
T1 - Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation
AU - Harrach, Bastian
AU - Lin, Yi Hsuan
N1 - Publisher Copyright:
© 2022
PY - 2023/3
Y1 - 2023/3
N2 - In this short note, we investigate simultaneous recovery inverse problems for semilinear elliptic equations with partial data. The main technique is based on higher order linearization and monotonicity approaches. With these methods at hand, we can determine the diffusion and absorption coefficients together with the shape of a cavity simultaneously by knowing the corresponding localized Dirichlet–Neumann operator.
AB - In this short note, we investigate simultaneous recovery inverse problems for semilinear elliptic equations with partial data. The main technique is based on higher order linearization and monotonicity approaches. With these methods at hand, we can determine the diffusion and absorption coefficients together with the shape of a cavity simultaneously by knowing the corresponding localized Dirichlet–Neumann operator.
KW - Higher order linearization
KW - Inverse boundary value problems
KW - Inverse obstacle problem
KW - Localized potentials
KW - Monotonicity method
KW - Partial data
KW - Semilinear elliptic equations
KW - Simultaneous recovery
UR - http://www.scopus.com/inward/record.url?scp=85143909905&partnerID=8YFLogxK
U2 - 10.1016/j.na.2022.113188
DO - 10.1016/j.na.2022.113188
M3 - Article
AN - SCOPUS:85143909905
SN - 0362-546X
VL - 228
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
M1 - 113188
ER -