| 1. |
Jun-ichi Segata, Asymptotic behavior in time of solution to system of cubic nonlinear Schrodinger equations in one space dimension, RIMS研究集会 Workshop on Variational Methods and Dispersive Equations, 2023.02. |
| 2. |
Jun-ichi Segata, Modified scattering for the complex valued nonlinear Klein-Gordon equation, Colloquia at Department of Mathematics and Statistics, Missouri University of Science and Technology, 2019.12. |
| 3. |
Jun-ichi Segata, Modified scattering for the complex valued nonlinear Klein-Gordon equation, Fundamental Problems in Mathematical and Theoretical Physics, 2019.07. |
| 4. |
Jun-ichi Segata, Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation, 第144回熊本大学応用解析セミナー, 2019.03. |
| 5. |
Jun-ichi Segata, On 1d nonlinear Schr"odinger equation with delta potential, シュレーディンガー方程式の数理とその周辺, 2019.01. |
| 6. |
Jun-ichi Segata, Modified scattering for the 1d cubic NLS with a repulsive delta potential, The 12th bi-annual Conference on Dynamical Systems, Differential Equations and Applications, 2018.07, We consider the initial value problem for the cubic nonlinear Schr"odinger equation (NLS) with a repulsive delta potential in one space dimension. Our goal is to describe the long-time decay and asymptotics of small solutions to (NLS). From the linear scattering theory, we expect that (NLS) will not scatter to the solution to the linear equation. We prove that if the initial data is sufficiently small in a weighted Sobolev space, then there exists a unique global solution to (NLS) that exhibits modified scattering.. |
| 7. |
Jun-ichi Segata, Refinement of Strichartz estimates for Airy equation in non-diagonal case and application, RIMS workshop Harmonic Analysis and Nonlinear Partial Differential Equations, 2018.06. |
| 8. |
Jun-ichi Segata, Modified scattering for the 1d cubic NLS with a repulsive delta potential, Taiwan-Japan Workshop on Dispersion and Nonlinear Waves, 2018.06. |
| 9. |
Jun-ichi Segata, Modified scattering for the Klein-Gordon equation with the critical nonlinearity in two and three dimensions, RIMS 研究集会, Nonlinear Wave and Dispersive Equations, 2017.08. |
| 10. |
Jun-ichi Segata, Modified scattering for the Klein-Gordon equation with critical nonlinearity in two and three dimensions, Nonlinear PDE for Future Applications - Hyperbolic and Dispersive PDE -, 2017.07. |
| 11. |
Jun-ichi Segata, Existence of a minimal non-scattering solutions to the mass-subcritical generalized Korteweg-de Vries equation, RIMS研究集会, 偏微分方程式の解の形状解析, 2017.06. |
| 12. |
Jun-ichi Segata, Scattering problem for the generalized Korteweg-de Vries equation, PDE/Applied seminar at UCSB, 2017.03. |
| 13. |
Jun-ichi Segata, Refinement of Strichartz estimate for Airy equation in non-diagonal case and its application, Critical Exponents and Nonlinear Evolution Equation 2017, 2017.02. |
| 14. |
Jun-ichi Segata, Scattering problem for the generalized Korteweg-de Vries equation, 第34回九州における偏微分方程式研究集会, 2017.01. |
| 15. |
Jun-ichi Segata, Scattering problem for the generalized Korteweg‐de Vries equation, 2016 Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic, and Inverse Problems, 2016.12. |
| 16. |
Jun-ichi Segata, Scattering problem for the generalized Korteweg-de Vries equation, Colloquium at Fudan University, 2016.12. |
| 17. |
Jun-ichi Segata, Refinement of Strichartz estimates for Airy equation and application, Nonlinear Wave and Dispersive Equations, Kyoto 2016, 2016.09. |
| 18. |
Jun-ichi Segata, Refinement of Strichartz estimates for Airy equation and application, Fundamental Problems in Mathematical and Theoretical Physics, 2016.07. |
| 19. |
Jun-ichi Segata, Refinement of Strichartz estimates for Airy equation and application, RIMS研究集会, 保存則と保存則をもつ偏微分方程式に対する解の正則性,特異性および長時間挙動の研究, 2016.06. |
| 20. |
Jun-ichi Segata, Well-posedness for the fourth order nonlinear Schr"odinger type equation and orbital stability of standing waves, Math Colloquium at National Cheng Kung University, 2015.06. |
| 21. |
Jun-ichi Segata, The higher order nonlinear dispersive equation related to the motion of vortex filament, PDE/Applied seminar at UCSB, 2014.04. |
