7 citations · 14 across the 6 of their papers we have counts for
6 papers
The interior Backus problem: local resolution in Hölder spaces
Toru Kan, Rolando Magnanini, Michiaki Onodera
We prove an existence result for the Backus interior problem in the Euclidean ball. The problem consists in determining a harmonic function in the ball from the knowledge of the mo…
Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces
Toru Kan, Rolando Magnanini, Michiaki Onodera
We consider Backus's problem in geophysics. This consists in reconstructing a harmonic potential outside the Earth when the intensity of the related field is measured on the Earth'…
Stability analysis of an overdetermined fourth order boundary value problem via an integral identity
Yuya Okamoto, Michiaki Onodera
We consider an overdetermined fourth order boundary value problem in which the boundary value of the Laplacian of the solution is prescribed, in addition to the homogeneous Dirichl…
Linear stability estimates for Serrin's problem via a modified implicit function theorem
Alexandra Gilsbach, Michiaki Onodera
We examine Serrin's classical overdetermined problem under a perturbation of the Neumann boundary condition. The solution of the problem for a constant Neumann boundary condition e…
Hyperbolic solutions to Bernoulli's free boundary problem
Antoine Henrot, Michiaki Onodera
Bernoulli's free boundary problem is an overdetermined problem in which one seeks an annular domain such that the capacitary potential satisfies an extra boundary condition. There…
Asymptotic analysis of solutions to a gauged O(3) sigma model
Daniele Bartolucci, Youngae Lee, Chang-Shou Lin +1
We analyze an elliptic equation arising in the study of the gauged O(3) sigma model with the Chern-Simons term. In this paper, we study the asymptotic behavior of solutions and app…