Kunio Hidano

Profile Information

Affiliation: Professor, Mie University

Degree: Doctor of Science(Waseda University)

Researcher number: 00285090
J-GLOBAL ID: 200901092007466684
researchmap Member ID: 5000015967

External link: http://math1.edu.mie-u.ac.jp/MathDepartment.html

Research Interests

Research Areas

Natural sciences / Basic analysis /

Research History

Apr, 2014 - Present

Professor, Faculty of Education,, Mie University,
Nov, 2020 - Nov, 2020

Lecturer (1 week), Graduate School of Science,, Tohoku University,
Apr, 2003 - Mar, 2014

Assiociate Professor, Faculty of Education,, Mie University,
Feb, 2005 - Feb, 2005

Lecturer (1 week), Graduate School of Pure and Applied Sciences,, University of Tsukuba,
Jul, 1996 - Mar, 2003

Research Associate, Graduate School of Science,, Tokyo Metropolitan University,
Oct, 2000 - Sep, 2001

Visiting Researcher, Department of Mathematics,, UCSB,
Apr, 1996 - Jun, 1996

Research Fellow, Japan Society for the Promotion of Science (JSPS),

Education

Apr, 1994 - Jun, 1996

Graduate School of Science and Engineering, Waseda University,
Apr, 1992 - Mar, 1994

Graduate School of Science and Engineering, Waseda University,
Apr, 1988 - Mar, 1992

School of Science and Engineering, Waseda University,

Awards

Dec, 2012

The 4th Fukuhara Prize., Global existence and lifespan for solutions to nonlinear hyperbolic equations, The Division of Functional Equations, The Mathematical Society of Japan.

HIDANO, Kunio

Papers

Global existence and blow up for systems of nonlinear wave equations related to the weak null condition

Kunio HIDANO, Kazuyoshi YOKOYAMA

Accepted for publication in Discrete and Continuous Dynamical Systems (2022/03/26), Mar, 2022 Peer-reviewed
Global existence for null-form wave equations with data in a Sobolev space of lower regularity and weight

Kunio Hidano, Kazuyoshi Yokoyama

Accepted for publication in Hokkaido Mathematical Journal (Sep.10, 2021), Sep, 2021 Peer-reviewed
Global existence for a system of multiple-speed wave equations violating the null condition

Kunio Hidano, Kazuyoshi Yokoyama, Dongbing Zha

Accepted for publication in Tohoku Mathematical Journal (Aug. 26, 2021), Aug, 2021 Peer-reviewed
Global solutions to systems of quasilinear wave equations with low regularity data and applications

Dongbing Zha, Kunio Hidano

Journal des Mathématiques Pures et Appliquées, 142(10) 146-183, Oct, 2020 Peer-reviewed
Weighted fractional chain rule and nonlinear wave equations with minimal regularity

Kunio Hidano, Jin-Cheng Jiang, Sanghyuk Lee, Chengbo Wang

Revista Matemática Iberoamericana, 36(2) 341-356, Apr, 2020 Peer-reviewed
Global existence for a system of quasi-linear wave equations in 3D satisfying the weak null condition

Kunio Hidano, Kazuyoshi Yokoyama

International Mathematics Research Notices. IMRN, 2020(1) 39-70, Jan, 2020 Peer-reviewed
Remarks on a system of quasi-linear wave equations in 3 D satisfying the weak null condition

Kunio Hidano, Dongbing Zha

Communications on Pure and Applied Analysis, 18(4) 1735-1767, Jul, 2019 Peer-reviewed
Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation

Kunio Hidano, Chengbo Wang

Selecta Mathematica, New Series., 25(1) 25:2, Mar, 2019 Peer-reviewed
Space-time L^2 estimates, regularity and almost global existence for elastic waves

Kunio Hidano, Dongbing Zha

Forum Mathematicum, 30(5) 1291-1307, Sep, 2018 Peer-reviewed
Regularity and lifespan of small solutions to systems of quasi-linear wave equations with multiple speeds,I: almost global existence

Kunio Hidano

RIMS K{\hat o}ky{\hat u}roku Bessatsu B65: Harmonic Analysis and Nonlinear Partial Differential Equations (eds. Hideo Kubo and Hideo Takaoka), 37-61, May, 2017 Peer-reviewedInvited
Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations

Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama

Mathematische Annalen, 366(1-2) 667-694, Oct, 2016 Peer-reviewed
Life span of small solutions to a system of wave equations

Kunio Hidano, Kazuyoshi Yokoyama

Nonlinear Analysis. Theory, Methods & Applications, 139 106-130, Jul, 2016 Peer-reviewed
The Glassey conjecture with radially symmetric data

Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama

Journal de Mathématiques Pures et Appliquées, 98(5) 518-541, Nov, 2012 Peer-reviewed
On almost global existence and local well posedness for some 3-D quasi-linear wave equations

Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama

Advances in Differential Equations, 17(3-4) 267-306, Mar, 2012 Peer-reviewed
(Proceedings) On weighted Strichartz estimates and NLS for radial data in Sobolev spaces of negative indices

Kunio Hidano

RIMS Kôkyûroku Bessatsu B22: Harmonic Analysis and Nonlinear Partial Differential Equations (ed. Yoshio Tsutsumi), 1-12, Dec, 2010 Peer-reviewedInvited
On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles

Kunio Hidano, Jason Metcalfe, Hart F. Smith, Christopher D. Sogge, Yi Zhou

Transactions of the American Mathematical Society, 362(5) 2789-2809, May, 2010 Peer-reviewed
Small solutions to semi-linear wave equations with radial data of critical regularity

Kunio Hidano

Revista Matemática Iberoamericana, 25(2) 693-708, 2009 Peer-reviewed
Nonlinear Schrodinger equations with radially symmetric data of critical regularity

Kunio Hidano

Funkcialaj Ekvacioj, 51(1) 135-147, Apr, 2008 Peer-reviewed
Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrödinger equations

Kunio Hidano, Yuki Kurokawa

Illinois Journal of Mathematics, 52(2) 365-388, 2008 Peer-reviewed
Morawetz-Strichartz estimates for spherically symmetric solutions to wave equations and applications to semilinear Cauchy problems

Kunio Hidano

Differential and Integral Equations, 20(7) 735-754, Jul, 2007 Peer-reviewed

Presentations

Global existence for a system of multiple-speed wave equations violating the null condition

HIDANO Kunio

Handayama PDE Meeting (Zoom), Oct 9, 2021
Keel-Smith-Sogge estimates and nonlinear wave equations with minimal regularity

HIDANO Kunio

Colloquium, Mathematical Institute, Tohoku University, Nov 2, 2020 Invited
Global existence for null-form wave equations with data in a Sobolev space of lower regularity and weight

HIDANO, Kunio, YOKOYAMA, Kazuyoshi

MSJ Spring Meeting 2020, at Nihon University (Cancelled), Mar 18, 2020
Global existence and regularity of solutions to systems of quasi-linear wave equations satisfying the null condition

HIDANO Kunio

Applied Mathematics Seminar in Tohoku University, Oct 25, 2018 Invited
Space-time L^2 estimates, regularity and (almost) global existence for quasi-linear wave equations, after Keel-Smith-Sogge and Rodnianski I, II

HIDANO Kunio

Nagoya PDE Meeting (Nagoya Institute of Technology), Oct 7, 2018 Invited
Space-time L^2 estimates, regularity and almost global existence for elastic waves

HIDANO Kunio

Department Colloquium, Faculty of Science and Technology, Tokyo University of Science, Jul 19, 2018 Invited
Space-time L^2 estimates, regularity and almost global existence for elastic waves

HIDANO Kunio

Analysis and the general relativity (Yamagata University), Nov 20, 2017 Invited
Global existence for a system of quasi-linear wave equations in 3D satisfying the weak null condition

HIDANO Kunio

SAMS (Graduate School of Advanced Science and Engineering, Waseda University), Oct 28, 2017 Invited
Global existence for a system of quasi-linear wave equations in 3D satisfying the weak null condition

HIDANO Kunio

Hakodate PDE meeting (Future University Hakodate), Oct 8, 2017
Global existence for a system of quasi-linear wave equations in 3 D satisfying the weak null condition

HIDANO Kunio

MSJ Autumn Meeting 2017 (Yamagata University), Sep 13, 2017
Global existence for a system of quasi-linear wave equations in 3 D satisfying the weak null condition

HIDANO Kunio

Nonlinear Partial Differential Equations for Future Applications--Hyperbolic and Dispersive PDE-- (Tohoku University), Jul 28, 2017 Invited
Global existence for a system of quasi-linear wave equations in 3-D satisfying the weak null condition

HIDANO Kunio

Hakodate PDE Seminar (Future University Hakodate), Jun 24, 2017 Invited
On the local well-posedness for the nonlinear half wave equation

HIDANO Kunio

Shibata PDE Meeting, Mar 18, 2017 Invited
Existence of global solutions to a 3D null-form nonlinear wave equation: A note on a theorem of Alinhac

HIDANO Kunio

The 14th Linear and Nonlinear Waves (Ohtsu, Shiga Prefecture), Nov 3, 2016 Invited
Existence of global solutions to a 3D null-form nonlinear wave equation: A note on a theorem of Alinhac

HIDANO Kunio

Hikone PDE Meeting (The University of Shiga Prefecture), Oct 9, 2016
Regularity and global existence of small solutions to systems of quasi-linear wave equations in 2D with multiple speeds

HIDANO Kunio

MSJ Autumn Meeting 2016 at Kansai University, Sep 17, 2016
Regularity and lifespan of small solutions to systems of quasi-linear wave equations in 2D with multiple speeds

HIDANO Kunio

Harmonic Analysis and Nonlinear Partial Differential Equations (RIMS, Kyoto University), Jul 5, 2016 Invited
On the space-time L^2 estimate due to Lindblad-Rodnianski and global existence of small solutions to systems of quasilinear wave equations in 2D with multiple propagation speeds

HIDANO Kunio

PDE Seminar (Chuo University, Tokyo), May 25, 2016 Invited
On global existence of small solutions to nonlinear wave equations in 2D from the point of view of null condition and combined effect

HIDANO Kunio

Musashino PDE Conference (Nippon Veterinary and Life Science University, Musashino-shi, Tokyo ), Oct 11, 2015
19

An alternate proof of global existence of small solutions to systems of quasilinear, multiple-speed wave equations in two space dimensions

HIDANO Kunio

MSJ Autumn Meeting 2015 (Kyoto Sangyo University), Sep 15, 2015

Teaching Experience

Professional Memberships

The Mathematical Society of Japan (MSJ)

Research Projects

Global solutions to the Cauchy problem for systems of quasi-linear wave equations satisfying the weak null condition

Grants-in-Aid for Scientific Research <KAKENHI>, Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2024
Challenges to unexplored fields of research on the Cauchy problem for systems of quasi-linear wave equations--large-time behavior and regularity of solutions--

Grants-in-Aid for Scientific Research <KAKENHI>, Japan Society for the Promotion of Science (JSPS), Apr, 2018 - Mar, 2021

HIDANO, Kunio
On the lifespan and asymptotic behavior of solutions to systems of wave equations with nonlinear terms of long range effects

Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science (JSPS), Apr, 2015 - Mar, 2018

HIDANO, Kunio, YOKOYAMA, Kazuyoshi
...

Mie University Research Grant 2014, Mie University, Jul, 2014 - Mar, 2015

HIDANO, Kunio
Local smoothing estimates and applications to nonlinear hyperbolic equations

Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2014

HIDANO, Kunio
Local smoothing estimates for hyperbolic and dispersive equations and applications

Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2008 - Mar, 2011

HIDANO, Kunio
波動方程式の様々な局所平滑化評価式の拡張と統合に関する研究

科学研究費補助金, 日本学術振興会, Apr, 2006 - Mar, 2008

肥田野久二男
双曲型方程式の幾何学的対称性と非線型方程式の時間大域解の存在及び散乱問題の研究

科学研究費補助金, 日本学術振興会, Apr, 2003 - Mar, 2006

肥田野久二男
半線形波動方程式の解の漸近挙動と非線型弾性体方程式の時間大域解の存在の研究

科学研究費補助金, 日本学術振興会, Apr, 2001 - Mar, 2003

肥田野久二男

Social Activities

教員免許状更新講習講師（2010年度～2019年度、年2または3回．2020年度の担当講習は中止）

Lecturer

2010 - Present
津高校SSH 講師

Lecturer

Dec 11, 2021
津高校SSH 講師

Lecturer

三重県立津高等学校, Aug 1, 2019
東海地方数学教育会第64回研究（三重）大会高等学校数学Ⅱ数学B分科会助言者

Consultant

東海地方数学教育会, Nov 10, 2017
津高校SSH 講師

Lecturer

Jul 26, 2017
伊勢高校と三重大学コラボ数学研究会（SSH事業）

Consultant

Jun 20, 2017
津高校SSH 講師

Lecturer

Jul 27, 2016
東海地方数学教育会第62回研究（愛知）大会高等学校数学Ⅱ数学B分科会助言者

Consultant

東海地方数学教育会, Nov 6, 2015

Other

「国境をまたいだ共同研究で非線形偏微分方程式論の未解決問題に挑む。」ウエーブ三重大

Oct, 2014

三重大学の広報誌です。次にてご覧いただけます。http://www.mie-u.ac.jp/report/wave.html#label47
京都大学数理解析研究所短期共同研究「エネルギーの評価から見た波動方程式の研究」研究代表者

May, 2004 - May, 2004

京都大学数理解析研究所講究録短期共同研究報告集を以下でご覧いただけます。 http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/1411.html

Profile Information

Research Interests

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Research History

Education

Awards

Papers

Presentations

Teaching Experience

Professional Memberships

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