Researcher Profile and Settings

researchmap

https://researchmap.jp/tomoyuki_tanaka

• Contact Point

  tomtanakmail.doshisha.ac.jp

Research funding number

40891304

Research Experience

• Doshisha University, Faculty of Science and Engineering, Department of Electronics, Assistant Professor, 2023/04 - Today
• The University of Birmingham, School of Mathematic, Research Fellow, 2022/04 - 2023/03
• The University of Birmingham, School of Mathematics, Guest Researcher, 2021/09 - 2022/03
• Japan Society for the Promotion of Science, JSPS Research Fellow: PD, 2020/10 - 2022/03
• Université de Tours, Institut Denis Poisson, Guest Researcher, 2020/10 - 2021/07
• Japan Society for the Promotion of Science, JSPS Research Fellow: DC2, 2020/04 - 2020/09
• RIKEN, Center for Advanced Intelligence Project (AIP), Junior Research Associate, 2019/04 - 2020/03

Education

• Nagoya University, Graduate School of Mathematics, Doctor course, 2018/04 - 2020/09
• Chiba University, Graduate School of Science, Master course, 2016/04 - 2018/03
• Chiba University, Faculty of Science, Department of Mathematics and Informatics, 2012/04 - 2016/03

Degree

• Doctor of Philosophy(Mathematical Science), Nagoya University, Sep. 2020

Association Memberships

• The Mathematical Society of Japan

Published Papers

• Improved bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations
  Luc Molinet; Tomoyuki Tanaka
  arXiv:2207.08725v2, Jul. 2022
• Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations
  Luc Molinet; Tomoyuki Tanaka
  Journal of Functional Analysis, Elsevier BV, 283(1) 109490 - 109490, Jul. 2022, Scientific journal
  

  DOI URL
• Well-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficients
  Tomoyuki Tanaka; Kotaro Tsugawa
  Osaka Journal of Mathematics, 59(2) 465 - 480, Apr. 2022
• Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities
  Hiroyuki Hirayama; Masahiro Ikeda; Tomoyuki Tanaka
  Nonlinear Differential Equations and Applications NoDEA, Springer Science and Business Media LLC, 28(5), Sep. 2021, Scientific journal
  

  URLDOI URL
• Local well-posedness for fourth order Benjamin-Ono type equations
  Tomoyuki Tanaka
  Journal of Mathematical Analysis and Applications, Elsevier BV, 498(1) 124928 - 124928, Jun. 2021, Scientific journal
  

  DOI URL
• On the critical decay for the wave equation with a cubic convolution in 3D
  Tomoyuki Tanaka; Kyouhei Wakasa
  Discrete & Continuous Dynamical Systems, American Institute of Mathematical Sciences (AIMS), 41(10) 4545 - 4566, 2021, Scientific journal
  

  DOI URL
• Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution
  Masahiro Ikeda; Tomoyuki Tanaka; Kyouhei Wakasa
  Journal of Differential Equations, Elsevier BV, 270 916 - 946, Jan. 2021, Scientific journal
  

  DOI URL
• Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data
  Masahiro Ikeda; Tomoyuki Tanaka; Kyouhei Wakasa
  Nonlinear Analysis, Elsevier BV, 200 112057 , Nov. 2020, Scientific journal
  

  DOI URL
• Local well-posedness for third order Benjamin-Ono type equations on the torus
  Tomoyuki Tanaka
  Advances in Differential Equations, 24(9/10) 555 - 580, Sep. 2019, Scientific journal