Takaoka Hideo

タカオカヒデオ | Takaoka Hideo

Affiliation and department：
Job title： Professor

Research field (1)： Mathematical analysis

Research keywords (1)： Partial differntial equation

Research theme for competitive and other funds (11)：

2018 - 2023 非線形分散型方程式のエネルギー集約と大域構造に関する研究
2013 - 2018 非線形分散型波動方程式の特異性の幾何学的構造と大域可解性の研究
2011 - 2016 Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations
2007 - 2010 Relations between properties of solutions and geometric symmetry of solutions for nonlinear wave and dispersive equations
2008 - 非線形放物型方程式の自己相似性と解の特異性

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Papers (11)：

Hideo Takaoka. Remarks on blow-up criteria for the derivative nonlinear Schrödinger equation under the optimal threshold setting. Journal of Differential Equations. 2021. 291. 90-109
Hideo Takaoka. ENERGY TRANSFER MODEL AND LARGE PERIODIC BOUNDARY VALUE PROBLEM FOR THE QUINTIC NONLINEAR SCHRODINGER EQUATIONS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2020. 40. 11. 6351-6378
Hideo Takaoka. ENERGY TRANSFER MODEL FOR THE DERIVATIVE NONLINEAR SCHRODINGER EQUATIONS ON THE TORUS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2017. 37. 11. 5819-5841
Hideo Takaoka. A priori estimates and weak solutions for the derivative nonlinear Schrodinger equation on torus below H-1/2. JOURNAL OF DIFFERENTIAL EQUATIONS. 2016. 260. 1. 818-859
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao. Resonant decompositions and the I-method for the cubic nonlinear Schrodinger equation on R-2. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2008. 21. 3. 665-686

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MISC (18)：

Hideo TAKAOKA. Energy transfer model and large periodic boundary value problem for the quintic NLS. 「数理解析研究所講究緑2093」. 2018. 11月号. 94-103
Hideo Takaoka. Local well-posedness of the nonlinear Schrodinger equations on the sphere for data in modulation spaces. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. 2016. 41. 4. 732-747
高岡秀夫. フーリエ解析と微分方程式 : 周波数解析の視点から-特集フーリエ解析の探究 : 現象,理論から普遍へ. 数理科学. 2015. 53. 11. 36-42
高岡秀夫. 無限次元微積分-特集無限次元の魅力--諸分野を照らす多彩な舞台装置. 数理科学. 2010. 48. 1. 49-54
Stephen Gustafson, Hideo Takaoka, Tai-Peng Tsai. Stability in H-1/2 of the sum of K solitons for the Benjamin-Ono equation. JOURNAL OF MATHEMATICAL PHYSICS. 2009. 50. 1

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Lectures and oral presentations (12)：

Energy cascades for resonant nonlinear Schrödinger equations
(九州関数方程式セミナー 2019)
Energy cascades for resonant nonlinear Schrödinger equations
(Nonlinear Dispersive Equations in Kumamoto, 2019 2019)
Energy transfer model for the resonant 1D quintic NLS
(Sixth Bielefeld-SNU Joint Workshop in Mathematics 2018)
Energy transfer model and large periodic boundary value problem for the quintic NLS
(The 15th Linear and Nonlinear Waves 2017)
Energy transfer model and large periodic boundary value problem for the quintic NLS
(Okayama Workshop on Partial Differential Equations 2017)

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Education (1)：

Professional career (2)：

Work history (6)：

2017/04 - 現在 Kobe University Department of Mathematics Professor
2008/10 - 2017/03 Hokkaido University Department of Mathematics Professor
2002/10 - 2008/09 Kobe University Graduate School of Science Associate Professor
2004/01 - 2006/01 Japan Society for the Promotion of Science Postdoctoral Fellowships for Research Abroad
2000/09 - 2002/09 Hokkaido University Graduate School of Science Assistant

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Association Membership(s) (1)：

日本数学会

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