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Shu Nakamura

 
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NameShu Nakamura
AffiliationGakushuin University
SectionGraduate School of Mathematical Sciences
Research funding number50183520

Research Interests

 
microlocal analysis , semiclasical analysis , scattering theory , Schrodinger equations

Research Areas

 
  • Mathematics / Basic analysis / functional analysis, functional equations

Published Papers

 
Behrndt Jussi, Gesztesy Fritz, Nakamura Shu
MATHEMATISCHE ANNALEN   371(3-4) 1255-1300   Aug 2018   [Refereed]
Matsuta Takuro, Koma Tohru, Nakamura Shu
ANNALES HENRI POINCARE   18(2) 519-528   Feb 2017   [Refereed]
Microlocal resolvent estimates, revisited
Shu Nakamura
J. Math. Sci. Univ. Tokyo   24 239-257   2017   [Refereed]
Nakamura Shu
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS   41(6) 894-912   2016   [Refereed]
Nakamura Shu
JOURNAL OF MATHEMATICAL PHYSICS   55(11)    Nov 2014   [Refereed]

Misc

 
Shu Nakamura
   Apr 2018
We consider scattering matrix for Schrödinger-type operators on Tex with
perturbation Tex as Tex. We show that
the scattering matrix (with time-independent modifiers) is a pseudodifferential
operator. We ...
Shu Nakamura
   Apr 2018
We show that the scattering matrix for a class of Schrödinger-type
operators with long-range perturbations is a Fourier integral operator with the
phase function which is the generating function of the modified classical
scattering map.
Jussi Behrndt, Fritz Gesztesy, Shu Nakamura
   Oct 2017
For the pair Tex of self-adjoint
Schrödinger operators in Tex a spectral shift function is
determined in an explicit form with the help of (energy parameter dependent)
Dirichlet-to-Ne...
Jussi Behrndt, Fritz Gesztesy, Shu Nakamura
   Sep 2016
The spectral shift function of a pair of self-adjoint operators is expressed
via an abstract operator valued Titchmarsh--Weyl Tex-function. This general
result is applied to different self-adjoint realizations of second-order
elliptic partial diff...
Shu Nakamura
   Feb 2016
Let Tex be a Schrödinger type operator with long-range perturbation. We
study the wave front set of the distribution kernel of Tex, where Tex is in the absolutely continous spectrumof Tex.The
result is a refinement of ...