4 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…
Secondary bifurcations in semilinear ordinary differential equations
Toru Kan
We consider the Neumann problem for the equation in the punctured interval , where is a bifurcation parameter and . At $x…
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'…
Time-periodic flows of electrons and holes in semiconductor devices
Toru Kan, Masahiro Suzuki
The main purpose of this paper is mathematical analysis on time-periodic flows of electrons and holes in semiconductors. The flows appear in a situation that alternating-current vo…