Toru Kan

activity

20202022

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math.AP2022

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…

math.AP2022

Secondary bifurcations in semilinear ordinary differential equations

Toru Kan

We consider the Neumann problem for the equation $u_{xx} + λ f (u) = 0$ in the punctured interval $(- 1, 1) ∖ {0}$ , where $λ > 0$ is a bifurcation parameter and $f (u) = u - u^{3}$ . At $x…