Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Miyanishi, Yoshihisa"'
Autor:
Miyanishi, Yoshihisa
Our purpose here is to adapt the results of Geodesic circle foliations for Reeb flows or Hamiltonian flows on contact manifolds. Consequently, all periods are exactly the same if the contact manifold is connected and all orbits on the contact manifol
Externí odkaz:
http://arxiv.org/abs/2408.06056
One of the unexplored benefits of studying layer potentials on smooth, closed hypersurfaces of Euclidean space is the factorization of the Neumann-Poincar\'e operator into a product of two self-adjoint transforms. Resurrecting some pertinent indicati
Externí odkaz:
http://arxiv.org/abs/2403.19033
Two generic properties of the Neumann--Poincar\'e operator are investigated. We prove that non-zero eigenvalues of the Neumann--Poincar\'e operator on smooth boundaries in three dimensions and higher are generically simple in the sense of Baire categ
Externí odkaz:
http://arxiv.org/abs/2312.11916
Autor:
Miyanishi, Yoshihisa
We introduce a theorem currently proved unique by the asymptotic behaviors of eigenvalues of a compact operator. Specifically, a problem of partitions is considered and the Neumann--Poincar\'e operator is employed as the compact linear operator. Then
Externí odkaz:
http://arxiv.org/abs/2305.01916
If the boundary of a domain in three dimensions is smooth enough, then the decay rate of the eigenvalues of the Neumann-Poincar\'e operator is known and it is optimal. In this paper, we deal with domains with less regular boundaries and derive quanti
Externí odkaz:
http://arxiv.org/abs/2304.04772
We investigate the spectral structure of the Neumann-Poincar\'e operator on thin ellipsoids. Two types of thin ellipsoids are considered: long prolate ellipsoids and flat oblate ellipsoids. We show that the totality of eigenvalues of the Neumann-Poin
Externí odkaz:
http://arxiv.org/abs/2110.04716
The Neumann--Poincar\'e operator defined on a smooth surface has a sequence of eigenvalues converging to zero, and the single layer potentials of the corresponding eigenfunctions, called plasmons, decay to zero, i.e., are localized on the surface, as
Externí odkaz:
http://arxiv.org/abs/2007.16157
We consider the spectral structure of the Neumann--Poincar\'e operators defined on the boundaries of thin domains of rectangle shape in two dimensions. We prove that as the aspect ratio of the domains tends to $\infty$, or equivalently, as the domain
Externí odkaz:
http://arxiv.org/abs/2006.14377
This is a survey of accumulated spectral analysis observations spanning more than a century, referring to the double layer potential integral equation, also known as Neumann-Poincar\'e operator. The very notion of spectral analysis has evolved along
Externí odkaz:
http://arxiv.org/abs/2003.14387
We consider the double layer potential (Neumann-Poincar\'e) operator appearing in 3-dimensional elasticity. We show that the recent result about the polynomial compactness of this operator for the case of a homogeneous media follows without additiona
Externí odkaz:
http://arxiv.org/abs/1904.09449