8 citations · 20 across the 6 of their papers we have counts for
6 papers
Conditonal Lipschitz stability for the Inverse Problem of the 2D Navier-Stokes System in a Bounded Domain
Jishan Fan, Yu Jiang, Sei Nagayasu +1
This paper concerns an inverse problem for the initial boundary value problem of the two-dimensional Navier-Stokes system defined in a bounded simply connected domain with slip, vo…
Convergence Analysis of Levenberg-Marquardt Method for Inverse Problem with Hölder Stability Estimate
Akari Ishida, Sei Nagayasu, Gen Nakamura
We analyze convergence of the Levenberg-Marquardt method for solving nonlinear inverse problems in Hilbert spaces. Specifically, we establish local convergence and convergence rate…
Increasing stability of the inverse boundary value problem for the Schrödinger equation
V Isakov, S Nagayasu, G Uhlmann +1
In this work we study the phenomenon of increasing stability in the inverse boundary value problem for the Schrödinger equation. This problem was previously considered by Isakov in…
Increasing stability in an inverse problem for the acoustic equation
Sei Nagayasu, Gunther Uhlmann, Jenn-Nan Wang
In this work we study the inverse boundary value problem of determining the refractive index in the acoustic equation. It is known that this inverse problem is ill-posed. Nonethele…
A gradient estimate for solutions to parabolic equations with discontinuous coefficients
Jishan Fan, Kyoungsun Kim, Sei Nagayasu +1
Li-Vogelius and Li-Nirenberg gave a gradient estimate for solutions of strongly elliptic equations and systems of divergence forms with piecewise smooth coefficients, respectively.…
Quantitative uniqueness for the power of Laplacian with singular coefficients
Ching-Lung Lin, Sei Nagayasu, Jenn-Nan Wang
In this paper we study the local behavior of a solution to the th power of Laplacian with singular coefficients in lower order terms. We obtain a bound on the vanishing order of…