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math.AP2026
An inverse source problem for a fully nonlinear elliptic equation
Ching-Lung Lin, Yi-Hsuan Lin, Jenn-Nan Wang
We study an inverse source problem for fully nonlinear elliptic equations of the form \[ F(D^2u)=f \quad \text{in } Ω. \] The question is whether the source term can be recovered f…
math.AP2015
Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate
E. Francini, C. -L. Lin, S. Vessella +1
In this paper, we would like to derive a quantitative uniqueness estimate, the three-region inequality, for the second order elliptic equation with jump discontinuous coefficients.…
math.AP2015★ 2 cited
Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
M. Di Cristo, E. Francini, C. -L. Lin +2
In this paper we prove a local Carleman estimate for second order elliptic equations with a general anisotropic Lipschitz coefficients having a jump at an interface. Our approach d…