Detailed Information

Research Field/Keywords for Research Field

• Partial Differential Equations

Education

• 2006/03, Graduated
• 2011/03, Department of Mathematics, Doctor Course, Completed

Employment Experience

• 2014/06 -  *  Lecturer, Mathematics, Graduate School of Science and Engineering, Saga University

Field of Specialization

• Mathematical analysis, Basic analysis

Themes for Ongoing Research

• Solvability and asymptotic behaviour of the Cauchy problem for nonlinear dispersive equations

Research Topics and Results

• Cancellation properties and unconditional well-pposedness for the fifth order KdV type equations with periodic boundary condition 2024/05
• Unconditional well-posedness of fifth order KdV equations with periodic boundary condition 2018/00
• Global well-posedness for the Kawahara equation with low regularty data 2013/04
• Low regularity well-posedness for the periodic Kawahara equation 2012/11
• Local well-posedness for Kawahara eqaution 2011/03

Original Articles

• Cancellation properties and unconditional well-pposedness for the fifth order KdV type equations with periodic boundary condition;　2024/05
  ANNOUNCEMENT INFO.;　Partial Differential Equations and Applications, 5, 18, 55ページ
  AUTHOR;　Takamori Kato and Kotaro Tsugawa
  
• Unconditional well-posedness of fifth order KdV equations with periodic boundary condition;　2018/00
  ANNOUNCEMENT INFO.;　RIMS Kokyuroku, Bessatsu, B70 (2018), 105-129
  AUTHOR;　
  
• Global well-posedness for the Kawahara equation with low regularty data;　2013/04
  ANNOUNCEMENT INFO.;　Communications on Pure and Applied Analysis, 12, 3, 1321-1339
  AUTHOR;　Takamori Kato
  
• Low regularity well-posedness for the periodic Kawahara equation;　2012/11
  ANNOUNCEMENT INFO.;　Differential and Integral Equations, 25, 11-12, 1011-1036
  AUTHOR;　Takamori Kato
  
• Well-posedness for the fifth order KdV equation;　2012/04
  ANNOUNCEMENT INFO.;　Fankcialaj Ecvacioj, 55, 1, 17-53
  AUTHOR;　Takamori Kato
  
• Local well-posedness for Kawahara eqaution;　2011/03
  ANNOUNCEMENT INFO.;　Advamces in Differential Equations, 16, 3-4, 257-287
  AUTHOR;　Takamori Kato
  
• Remark on well-posedness and ill-posedness for the KdV equation;　2010/10
  ANNOUNCEMENT INFO.;　Electonic Journal of Differentail Equations, 2012, 142, 1-15
  AUTHOR;　Takamori Kato
  

General Lectures

• Unconditional well-posedness for fifth order KdV equations on the torus;　2022/08
  ANNOUNCEMENT INFO.;　
  AUTHOR;