| 1. |
瀬片 純市, 非線形シュレディンガー方程式系の解の長時間挙動について, 神楽坂解析セミナー, 2023.08. |
| 2. |
瀬片 純市, 非線形シュレディンガー方程式系の解の長時間挙動について, 大阪大学微分方程式セミナー, 2023.06. |
| 3. |
瀬片 純市, 非線形分散型方程式系の長距離散乱について, 大阪大学数学教室談話会, 2023.06. |
| 4. |
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. |
| 5. |
瀬片 純市, 非線形シュレディンガー方程式のシステムの解の長時間挙動について, 第11回室蘭非線形解析研究会, 2022.01. |
| 6. |
瀬片 純市, デルタポテンシャルをもつ非線形シュレディンガー方程式の解の長時間挙動, 京都大学大学院理学研究科数学教室談話会, 2021.06. |
| 7. |
瀬片 純市, デルタポテンシャルをもつ非線形シュレディンガー方程式の解の長時間挙動, 日本数学会2020年度秋季総合分科会, 2020.09, 本講演では、デルタポテンシャルをもつ非線形シュレディンガー方程式の解の長時間挙動について、眞崎聡氏(大阪大)、Jason Murphy氏(ミズーリ工科大)との共同研究により得られた成果(散乱問題及びソリトンの漸近安定性)について紹介した。. |
| 8. |
Jun-ichi Segata, On 1d nonlinear Schrodinger equation with an attractive delta potential, 反応拡散拡散方程式と非線形分散型方程式の解の挙動, 2020.02. |
| 9. |
Jun-ichi Segata, Asymptotic behavior in time of solution to the nonlinear Schrodinger equation with higher order anisotropic dispersion, Critical exponent and nonlinear evolution equations 2020, 2020.02. |
| 10. |
Jun-ichi Segata, On 1d nonlinear Schrodinger equation with an attractive delta potential, 北九州地区における偏微分方程式研究集会, 2020.02. |
| 11. |
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. |
| 12. |
Jun-ichi Segata, Modified scattering for the complex valued nonlinear Klein-Gordon equation, Workshop on nonlinear wave equations and related topics in Kobe, 2019.11. |
| 13. |
Jun-ichi Segata, Modified scattering for the complex valued nonlinear Klein-Gordon equation, Fundamental Problems in Mathematical and Theoretical Physics, 2019.07. |
| 14. |
Jun-ichi Segata, Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation, 京都大学NLPDEセミナー, 2019.06. |
| 15. |
Jun-ichi Segata, Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation, 大阪大学微分方程式セミナー, 2019.05. |
| 16. |
Jun-ichi Segata, Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation, 九州関数方程式セミナー, 2019.04. |
| 17. |
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. |
| 18. |
Jun-ichi Segata, On nonlinear Schr"odinger equation with attractive delta potential in one space dimension, Nonlinear Dispersive Equations in Kumamoto, 2019.01. |
| 19. |
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. |
| 20. |
Jun-ichi Segata, On 1d nonlinear Schr"odinger equation with an attractive delta potential, 九州関数方程式セミナー, 2018.10. |
| 21. |
Jun-ichi Segata, Modified scattering for the cubic nonlinear Schr"odinger equation with a repulsive delta potential in one space dimension, 広島微分方程式研究会, 2018.10. |
| 22. |
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.. |
| 23. |
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. |
| 24. |
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. |
| 25. |
Jun-ichi Segata, Modified scattering for the cubic nonlinear Schr"odinger equation with a repulsive delta potential in one space dimension, 応用解析研究会, 2018.06. |
| 26. |
Jun-ichi Segata, Refinement of Strichartz estimates for Airy equation in non-diagonal case and application, RIMS共同研究 非線形波動及び分散型方程式の研究, 2018.05. |
| 27. |
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. |
| 28. |
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. |
| 29. |
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. |
| 30. |
Jun-ichi Segata, Scattering problem for the generalized Korteweg-de Vries equation, PDE/Applied seminar at UCSB, 2017.03. |
| 31. |
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. |
| 32. |
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. |
| 33. |
Jun-ichi Segata, 一般化Korteweg-de Vries方程式の散乱問題, 東北大学数学教室談話会, 2017.01. |
| 34. |
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. |
| 35. |
Jun-ichi Segata, Final state problem for the Klein-Gordon equation with quadratic gauge invariant nonlinearity in two dimensions, 京都大学NLPDEセミナー, 2016.12. |
| 36. |
Jun-ichi Segata, Scattering problem for the generalized Korteweg-de Vries equation, Colloquium at Fudan University, 2016.12. |
| 37. |
Jun-ichi Segata, Modified scattering for the Klein-Gordon equation with quadratic gauge invariant nonlinearity in two dimensions, 第３回神楽坂非線形波動研究会, 2016.12. |
| 38. |
Jun-ichi Segata, Refinement of Strichartz estimates for Airy equation and application, Nonlinear Wave and Dispersive Equations, Kyoto 2016, 2016.09. |
| 39. |
Jun-ichi Segata, Refinement of Strichartz estimates for Airy equation and application, Fundamental Problems in Mathematical and Theoretical Physics, 2016.07. |
| 40. |
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. |
| 41. |
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. |
| 42. |
Jun-ichi Segata, The higher order nonlinear dispersive equation related to the motion of vortex filament, PDE/Applied seminar at UCSB, 2014.04. |
