Kazumasa FUJIWARA

J-GLOBAL         Last updated: Oct 7, 2019 at 18:26
 
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Name
Kazumasa FUJIWARA
Nickname
Kazumasa FUJIWARA
E-mail
fujiwara.kazumasa.a6tohoku.ac.jp
Affiliation
Tohoku University
Section
Graduate School of ScienceDepartment of Mathematics
Research funding number
40868262
ORCID ID
0000-0002-3796-4570

Research Areas

 
 

Academic & Professional Experience

 
Apr 2019
 - 
Today
JSPS Superlative Postdoctoral Fellow: SPD, Japan Society for the Promotion of Science
 
Oct 2017
 - 
Mar 2019
Junior Visiting Position, Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore di Pisa
 
Apr 2017
 - 
Sep 2017
JSPS Research Fellow: PD, Japan Society for the Promotion of Science
 
Apr 2017
 - 
Sep 2017
Part-time Lecturer, Chuo University
 
Apr 2016
 - 
Mar 2017
JSPS Research Fellow: DC2, Japan Society for the Promotion of Science
 
Apr 2014
 - 
Mar 2016
JSPS Research Fellow: DC1, Japan Society for the Promotion of Science
 
Sep 2012
 - 
Mar 2013
Part-time Lecturer, Waseda University Senior High School
 

Education

 
Apr 2014
 - 
Mar 2017
Doctor Corse, Department of Pure and Applied Physics, School of Advaned Science and Engineering, Waseda University
 
Apr 2012
 - 
Mar 2014
Department of Pure and Applied Physics, School of Advanced Science and Engineering, Waseda Univeristy
 
Apr 2008
 - 
Mar 2012
Department of Applied Physics, School of Advanced Science and Engineering, Waseda University
 

Awards & Honors

 
Mar 2016
Mathematical basis of semirelativistic field, 6th Ikushi Prize, Japan Society for the Promotion of Science
 
Recommended by The Mathematical Society of Japan
Mar 2014
On time-global existence for semirelativistic systems, Koizumi Prize (Master thesis award of Department of Pure and Applied Physics), Waseda University
 

Published Papers

 
Luigi Forcella, Kazumasa FUJIWARA, Vladimir Georgiev, Tohru Ozawa
Discrete Contin. Dyn. Syst.   39(5) 2661-2678   2019   [Refereed]
We study the initial value problem for the half Ginzburg-Landau-Kuramoto (hGLK) equation with the second order elliptic operator having rough coefficients and potential type perturbation. The blow-up of solutions for hGLK equation with non-positiv...
Kazumasa Fujiwara
Mathematical Methods in the Applied Sciences      Sep 2018   [Refereed]
J. Fourier Anal. Appl.      2018   [Refereed]
Dyn. Partial Differ. Equ.      2018   [Refereed]
Fujiwara Kazumasa, Miyazaki Hayato
RIMS Kôkyûroku Bessatsu, B63   13   2017   [Refereed]
Fujiwara Kazumasa, Ozawa Tohru
J. Evol. Equ.   17(3) 1023   2017   [Refereed]
Fujiwara Kazumasa, Ikeda Masahiro, Wakasugi Yuta
Electron. J. Differential Equations   Paper No. 196, 18   2017   [Refereed]
Fujiwara Kazumasa, Ozawa Tohru
J. Math. Soc. Japan   68(1) 169   2016   [Refereed]
Fujiwara Kazumasa, Ozawa Tohru
RIMS Kôkyûroku Bessatsu, B56   1   2016   [Refereed]
Fujiwara Kazumasa, Ozawa Tohru
J. Math. Phys.   57(8) 082103, 8   2016   [Refereed]
Kazumasa FUJIWARA
J. Math. Anal. Appl.   432 744-748   2015   [Refereed]
We study the boundedness of integral operators of convolution type in the Lebesgue spaces with weights. As a byproduct, we give a simple proof of the fact that the standard Sobolev space Hs(Rn) forms an algebra for s > n/2. Moreover, an optimality...
Fujiwara Kazumasa, Machihara Shuji, Ozawa Tohru
Commun. Pure Appl. Anal.   14(4) 1343   2015   [Refereed]
Fujiwara Kazumasa, Ikeda Masahiro, Wakasugi Yuta
   [Refereed]
preprint, arXiv:1712.06853
Fujiwara Kazumasa
Pliska Studia Mathematica      [Refereed]
preprint, arXiv:1809.10202

Conference Activities & Talks

 
Kazumasa FUJIWARA
12th ISAAC Congress   2 Aug 2019   
In this talk, we study the blow-up for solutions to the half Ginzburg-Landau-Kuramoto equation with an ode argument The key tools in the proof are appropriate commutator estimates and the essential self-adjointness of the symmetric uniformly ellip...
An estimate for commutator of fractional Laplacian with rough metric
Kazumasa FUJIWARA
International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics”   25 Jul 2019   Mathematics and Physics Unit“ Multiscale Analysis, Modelling and Simulation ”
We show an estimate for commutator of weight functions and fractional Laplacian with
rough metric. Commutators of fractional Laplacian has been studied mainly by Fourier
analysis. On the other hand, Fourier analysis is not sufficient to consider t...
Kazumasa FUJIWARA
Harmonic Analysis and Nonlinear Partial Differential Equations   3 Jul 2019   
This work is based on a joint work with L. Forcella, V. Georgiev, and T. Ozawa. In this talk, we see a sufficient condition of rough metric and potential for a commutator estimate with fractional derivative operator perturbed by them. Moreover, we...
Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and metric [Invited]
Kazumasa FUJIWARA
The 45th Conference Applications of Mathematics in Engineering and Economics   Jun 2019   
This talk is based on a joint work with L. Forcella, V. Georgiev, and T.Ozawa.

Research Grants & Projects

 
Study on the blowup phenomena for partial differential equations with non-gage invariant powertype nonlinearity
Japan Society for the Promotion of Science: Grant-in-Aid for JSPS Fellows
Project Year: Apr 2019 - Mar 2022    Investigator(s): Kazumasa FUJIWARA
Mathematical basis of semirelativistic field
Japan Society for the Promotion of Science: Grant-in-Aid for JSPS Fellows
Project Year: Apr 2016 - Mar 2018    Investigator(s): Kazumasa FUJIWARA
Study onthe Caucy problem of semirelativistic equations with powretype nolinearity and related inequalities
Japan Society for the Promotion of Science: Grant-in-Aid for JSPS Fellows
Project Year: Apr 2014 - Mar 2017    Investigator(s): Kazumasa FUJIWARA