Detailed Information

Research Field/Keywords for Research Field

• Analysis, Applied mathematics

Education

• 1987/03, Graduated
• 1989/03, Master Course, Completed

Employment Experience

• 1989/04 - 1996/03 Research Associate
• 1996/04 - 2000/03 Associate Professor
• 2000/04 - 2007/03 Associate Professor
• 2007/04 - 2014/03 Associate Professor
• 2014/04 - 2016/03 Professor, Faculty of Culture and Education, Saga University
• 2016/04 -  *  Professor, Faculty of Education, Saga University

Field of Specialization

• Basic analysis, Mathematical analysis, Foundations of mathematics/Applied mathematics

Research Topics and Results

• Codimension-m bifurcation theorems applicable to the numerical verification methods 2013
• Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations 2007
• Computer assisted proof to symmetry-breaking bifurcation phenomena in nonlinear vibration 2004
• Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity 1996/00

Original Articles

• The Hopf bifurcation theorem in Hilbert spaces for abstract semilinear equations;　2018/03
  ANNOUNCEMENT INFO.;　, arXiv:1803.11446v1, 1-17
  AUTHOR;　Tadashi Kawanago
  
• Codimension-m bifurcation theorems applicable to the numerical verification methods;　2013
  ANNOUNCEMENT INFO.;　Advances in Numerical Analysis, vol. 2013 (2013), Article ID 420897, 2013
  AUTHOR;　Tadashi Kawanago
  
• Error Analysis of Galerkin's Method for Semilinear Equations;　2012
  ANNOUNCEMENT INFO.;　J. Appl. Math. 2012 (2012), Article ID 298640, 2012
  AUTHOR;　Tadashi Kawanago
  
• Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations;　2007
  ANNOUNCEMENT INFO.;　J. Comput. Appl. Math., 199, 365-371
  AUTHOR;　Tadashi Kawanago
  
• Computer assisted proof to symmetry-breaking bifurcation phenomena in nonlinear vibration;　2004
  ANNOUNCEMENT INFO.;　Japan J. Indust. Appl. Math., 21, 75-108
  AUTHOR;　Tadashi Kawanago
  
• A symmetry-breaking bifurcation theorem and some related theorems applicable to maps having unbounded derivatives;　2004
  ANNOUNCEMENT INFO.;　Japan J. Indust. Appl. Math., 21, 57-74
  AUTHOR;　Tadashi Kawanago
  
• Applications of computer algebra to some bifurcation problems in nonlinear vibrations;　2002
  ANNOUNCEMENT INFO.;　in Computer Algebra -- Algorithms, Implementations and Applications, RIMS Kokyuroku., 1295, 137-143
  AUTHOR;　Tadashi Kawanago
  
• Analysis for bifurcation phenomena of nonlinear vibrations;　2001/04
  ANNOUNCEMENT INFO.;　in Numerical solution of Partial differential equations and related topics II, RIMS Kokyuroku., 1198, 13-20
  AUTHOR;　Tadashi Kawanago
  
• Stability estimate for strong solutions of the Navier-Stokes system and its applications;　1998/00
  ANNOUNCEMENT INFO.;　Electronic Journal of Differential Equations, 1998, 1-23
  AUTHOR;　Tadashi Kawanago
  
• Existence and behavior of solutions for ut= △(um) + ul;　1997/00
  ANNOUNCEMENT INFO.;　Adv. Math. Sci. Appl, 7, 367-400
  AUTHOR;　Tadashi Kawanago
  
• Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity;　1996/00
  ANNOUNCEMENT INFO.;　, 13, 1-15
  AUTHOR;　Tadashi Kawanago
  
• Large time behavior of solutions for quasilinear diffusion equations with strong nonlinearity;　1994/00
  ANNOUNCEMENT INFO.;　Funkcial. Ekvac., 37, 447-460
  AUTHOR;　Tadashi Kawanago
  
• Large time behavior of solutions of quasi-linear heat conduction equations;　1994/00
  ANNOUNCEMENT INFO.;　Comm. Partial Differential Equations, 19, 617-641
  AUTHOR;　Tadashi Kawanago
  
• Estimation Lp-Lq des solutions de ut =△φ(u) + f;　1993/00
  ANNOUNCEMENT INFO.;　C. R. Acad. Sci. Paris, 317, 821-824
  AUTHOR;　Tadashi Kawanago
  
• The behavior of solutions of quasi-linear heat equations;　1990/00
  ANNOUNCEMENT INFO.;　Osaka J. Math., 27, 769-796
  AUTHOR;　Tadashi Kawanago
  

Material, Commentary, Editorials, Research Report, A Comprehensive Journal Articles

• Remarks on some Hopf bifurcation theorems;　2014/09
  ANNOUNCEMENT INFO.;　Proceedings of the international conference 'Functional Analysis and Applications - Evolution Equations and Control Theory - ' (Kobe University, Japan, Feb. 11-13, 2013), 79-83
  AUTHOR;　Tadashi KAWANAGO
  
• Codimension - n bifurcation theorems applicable to the numerical verification;　2013/00
  ANNOUNCEMENT INFO.;　Proceedings of 'Seminar on Partial Differential Equations in Osaka 2012' (Osaka University, August 20 -24, 2012), 3 - 7
  AUTHOR;　Tadashi Kawanago
  
• A unified theorem describing Hopf and pitchfork bifurcation with applications to computer assisted proofs;　2006
  ANNOUNCEMENT INFO.;　in ICNAAM 2006, Wiley-VCH Verlag, T.E.Simos, G. Psihoyios, Ch. Tsitouras (Eds.), 174-177
  AUTHOR;　Tadashi Kawanago
  
• Stability of global strong solutions of the Navier-Stokes equations;　1995/00
  ANNOUNCEMENT INFO.;　, 913, 141-147
  AUTHOR;　Tadashi Kawanago
  
• On the behavior of solutions of quasilinear heat conduction equations;　1990/00
  ANNOUNCEMENT INFO.;　, 730, 21-40
  AUTHOR;　Tadashi Kawanago
  

General Lectures

• The Hopf bifurcation theorem for semilinear equations;　2014/03
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Error analysis of Galerkin's method for semilinear equations;　2012/03
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  

Invited Lecture, Special Lecture

• The Hopf bifurcation theorem in UMD Banach spaces;　2015/09
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Tadashi Kawanago
  
• Some remarks on the infinite-dimensional Hopf bifurcation theorems;　2014/08
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Tadashi KAWANAGO
  
• The Hopf bifurcation theorem for abstract semilinear equations;　2013/12
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Tadashi Kawanago
  
• On the Hopf bifurcation theorems in infinite dimensions;　2013/09
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Tadashi Kawanago
  
• Remarks on some Hopf bifurcation theorems;　2013/02
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Tadashi Kawanago
  
• 半線形偏微分方程式に対するガレルキン法の誤差解析;　2012/10
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Codimension - n bifurcation theorems applicable to the numerical verification;　2012/08
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Tadashi Kawanago
  
• A unified theorem describing Hopf and pitchfork bifurcation with applications to computer assisted proofs;　2006/09
  ANNOUNCEMENT INFO.;　国際研究集会「ICNAAM 2006」（15 - 19 September 2006, HOTEL BELVEDERE IMPERIAL, HERSONNISOS, CRETE, GREECE）にて Saturday 16 September 2006 に講演した。
  AUTHOR;　Tadashi Kawanago
  
• New bifurcation theorems for applications to nonlinear vibration;　2002/10
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Tadashi Kawanago
  
• Symmetry-breaking bifurcaiton phenomena in nonlinear vibrations;　2002/08
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Tadashi Kawanago