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pro vyhledávání: '"Onodera, Michiaki"'
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 modulus of its gradient on the boundary. The problem is severely nonline
Externí odkaz:
http://arxiv.org/abs/2212.00413
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's surface. Thus, the boundary condition is (severely) nonlinear. The g
Externí odkaz:
http://arxiv.org/abs/2108.12077
Stability analysis of an overdetermined fourth order boundary value problem via an integral identity
Autor:
Okamoto, Yuya, Onodera, Michiaki
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 Dirichlet boundary condition. It is known that, in the case where the prescri
Externí odkaz:
http://arxiv.org/abs/2107.06565
Autor:
Gilsbach, Alexandra, Onodera, Michiaki
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 exists provided that the underlying domain is a ball. The question aris
Externí odkaz:
http://arxiv.org/abs/2103.07072
Publikováno v:
In Journal of Differential Equations 5 February 2024 381:20-47
Autor:
Henrot, Antoine, Onodera, Michiaki
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 exist two different types of solutions called elliptic and hyperbolic
Externí odkaz:
http://arxiv.org/abs/1909.06606
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 apply it to prove the uniqueness of stable solutions. However, one of the
Externí odkaz:
http://arxiv.org/abs/1303.4216
Akademický článek
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Publikováno v:
In Annales de l'Institut Henri Poincaré / Analyse non linéaire May-June 2015 32(3):651-685
Autor:
Henrot, Antoine1 (AUTHOR), Onodera, Michiaki2 (AUTHOR) onodera@math.titech.ac.jp
Publikováno v:
Archive for Rational Mechanics & Analysis. May2021, Vol. 240 Issue 2, p761-784. 24p.