28 citations
- Waseda UniversityJP6 papers
- Sapienza University of RomeIT5 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Future University HakodateJP2 papers
- Gakushuin UniversityJP2 papers
- The University of TokyoJP2 papers
- Toho UniversityJP2 papers
- Tokyo University of ScienceJP2 papers
- University of VictoriaCA2 papers
- Academy of Mathematics and Systems ScienceCN1 paper
- Chinese Academy of SciencesCN1 paper
- Institut de Mathématiques de BourgogneFR1 paper
43 papers
Degenerate Addition Formulas of the KP Hierarchy and Applications
Atsushi Nakayashiki
It is well known that tau functions of the KP hierarchy satisfy addition formulas. Among them we consider the formula which expresses a tau function with shifted arguments by …
Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition
Isabeau Birindelli, Ariela Briani, Hitoshi Ishii
In this preprint we consider fully nonlinear equations in thin domains with oblique boundary condition, finding some new phenomena, in particular the limit equation contains "new t…
Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension
Noriyoshi Fukaya, Masayuki Hayashi
We consider a double power nonlinear Schrödinger equation which possesses the algebraically decaying stationary solution as well as exponentially decaying standing waves $e^{…
Propagation of minima for nonlocal operators
Isabeau Birindelli, Giulio Galise, Hitoshi Ishii
In this paper we state some sharp maximum principle, i.e. we characterize the geometry of the sets of minima for supersolutions of equations involving the -\emph{th fractional t…
Crossing numbers and rotation numbers of cycles in a plane immersed graph
Ayumu Inoue, Naoki Kimura, Ryo Nikkuni +1
For any generic immersion of a Petersen graph into a plane, the number of crossing points between two edges of distance one is odd. The sum of the crossing numbers of all -cycle…
Fitting ideals of class groups for CM abelian extensions
Mahiro Atsuta, Takenori Kataoka
Let be a finite abelian CM-extension and a suitable finite set of finite primes of . In this paper, we determine the Fitting ideal of the minus component of the -ra…