田中 智之

Improved refined bilinear estimates and well-posedness for generalized KdV type equations on $\mathbb{R}$ 

arXiv:2510.27461 2025年10月  

Refined bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations 

Journal of Hyperbolic Differential Equations 22(2) 225-260 2025年6月  査読有り

Local well-posedness for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions 

arXiv:2505.20883 2025年5月  

Remark on the local well-posedness for NLS with the modulated dispersion 

Proceedings of the Royal Society of Edinburgh (Section A: Mathematics) in press 2025年  査読有り

Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations 

Journal of Functional Analysis 283(1) 109490-109490 2022年7月  査読有り

Well-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficients 

Osaka Journal of Mathematics 59(2) 465-480 2022年4月  査読有り

Local well-posedness for fourth order Benjamin-Ono type equations 

Journal of Mathematical Analysis and Applications 498(1) 124928-124928 2021年6月  査読有り

On the critical decay for the wave equation with a cubic convolution in 3D 

Discrete & Continuous Dynamical Systems 41(10) 4545-4566 2021年  査読有り

Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data 

Nonlinear Analysis 200 112057 2020年11月  査読有り

Local well-posedness for third order Benjamin-Ono type equations on the torus 

Advances in Differential Equations 24(9/10) 555-580 2019年9月  査読有り