Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Michiaki Onodera"'
Autor:
Michiaki Onodera
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 3, Pp 1-18 (2023)
We study an overdetermined problem that arises as the Euler-Lagrange equation of a weighted variational problem in elasticity. Based on a detailed linear analysis by spherical harmonics, we prove the existence and local uniqueness as well as an optim
Externí odkaz:
https://doaj.org/article/863f59c3071844f8ae310397ef9661db
Autor:
Michiaki Onodera
Publikováno v:
Math. Eng.. 5(No. 3):1-18
We study an overdetermined problem that arises as the Euler-Lagrange equation of a weighted variational problem in elasticity. Based on a detailed linear analysis by spherical harmonics, we prove the existence and local uniqueness as well as an optim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d56a763e5cc02f938b88e14684542d3
http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100895558
http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100895558
Stability analysis of an overdetermined fourth order boundary value problem via an integral identity
Autor:
Yuya Okamoto, Michiaki Onodera
Publikováno v:
Journal of Differential Equations. 301:97-111
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55937827b0fc77cd7ea90fa912dc5e6d
https://doi.org/10.1016/j.jde.2021.08.017
https://doi.org/10.1016/j.jde.2021.08.017
Autor:
Michiaki Onodera, Antoine Henrot
Publikováno v:
Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, Springer Verlag, In press, ⟨10.1007/s00205-021-01620-z⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, In press, ⟨10.1007/s00205-021-01620-z⟩
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::127ab1bafb76034df31d82ffa5a67996
https://doi.org/10.1007/s00205-021-01620-z
https://doi.org/10.1007/s00205-021-01620-z
Autor:
Michiaki Onodera, Alexandra Gilsbach
Publikováno v:
Calculus of Variations and Partial Differential Equations. 60
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 ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffa5241093e54f16e0f3de8edd8da1e0
https://doi.org/10.1007/s00526-021-02107-1
https://doi.org/10.1007/s00526-021-02107-1
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. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c47ddfc7319f5808b08be39acde36d8f
Autor:
Michiaki Onodera
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 106:768-796
We introduce a new approach for studying the uniqueness and stability of a domain admitting the solvability of an overdetermined problem. One of the key observations is that the deformation of a continuously varying domain for a parametrized overdete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::689ef97a4c023b547fe16d1c1f0bcba4
https://doi.org/10.1016/j.matpur.2016.03.011
https://doi.org/10.1016/j.matpur.2016.03.011
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 32:651-685
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 o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4fc50c3edc98a03c402e48d2af4f3df
https://doi.org/10.1016/j.anihpc.2014.03.001
https://doi.org/10.1016/j.anihpc.2014.03.001
Autor:
Michiaki Onodera
Publikováno v:
MATH. ANN.. 361:77-106
A new geometric flow describing the motion of quadrature surfaces is introduced. This characterization enables us to study quadrature surfaces through the investigation of the flow. It is proved that the flow is uniquely solvable under the geometric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d124ac2b249b208491e62771f12f4da
http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100721441
http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100721441
Autor:
Michiaki Onodera
Publikováno v:
Journal of Mathematical Analysis and Applications. 389(1):498-510
We study the Euler–Lagrange system for a variational problem associated with the weighted Hardy–Littlewood–Sobolev inequality. We show that all the nonnegative solutions to the system are radially symmetric and have particular profiles around t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a1d11ad8d06eb25ebdf93692417fc13