Hideo Kubo

Profile Information

Affiliation: Professor, Faculty of Science Department of Mathematics, Hokkaido University

Degree: 博士（理学）(北海道大学)

J-GLOBAL ID: 200901074983416359
researchmap Member ID: 6000015488

External link

Research Interests

Research Areas

Natural sciences / Basic analysis /

Research History

Oct, 2012 - Present

Hokkaido University
Oct, 2008 - Sep, 2012

Tohoku University
Apr, 2003 - Sep, 2008

Osaka University
Apr, 1997 - Mar, 2003

Shizuoka University
Apr, 1996 - Mar, 1997

Shizuoka University

Education

- Mar, 1996

Hokkaido University
- 1991

School of Science, Hokkaido University

Committee Memberships

Awards

2002

日本数学会賞建部賢弘特別賞

Papers

Global solvability for nonlinear wave equations with singular potential

Vladimir Georgiev, Hideo Kubo

Journal of Differential Equations, 375 514-537, Dec, 2023 Peer-reviewed
On the Rellich Type Inequality for Schrödinger Operators with Singular Potential

V. Georgiev, H. Kubo

“Harmonic Analysis and Partial Differential Equations”, M. Ruzhansky, J. Wirth (eds.), Trends in Mathematics, Springer Nature Switzerland., 77-89, 2022 Peer-reviewed
On the Cauchy Problem for the Nonlinear Wave Equation with Damping and Potential

M. Kato, H. Kubo

“Harmonic Analysis and Partial Differential Equations”, M. Ruzhansky, J. Wirth (eds.), Trends in Mathematics, Springer Nature Switzerland., 45-61, 2022 Peer-reviewed
Blow-up for Strauss type wave equation with damping and potential

Wei Dai, Hideo Kubo, Motohiro Sobajima

Nonlinear Analysis: Real World Applications, 57 103195, Feb, 2021 Peer-reviewed
Blow-up phenomena of semilinear wave equations and their weakly coupled systems

Masahiro Ikeda, Motohiro Sobajima, Kyouhei Wakasa

Journal of Differential Equations, 267(9) 5165-5201, Oct, 2019 Peer-reviewed
Modification of the vector-field method related to quadratically perturbed wave equations in two space dimensions

H. Kubo

"Advanced Studies in Pure Mathematics 81, 2019 Asymptotic Analysis for Nonlinear Dispersive and Wave Equations", 81 139-172, 2019 Peer-reviewed
Critical exponent for nonlinear damped wave equations with non-negative potential in 3D

V. Georgiev, H. Kubo, K. Wakasa

J. Differential Equations, 267 3271-3288, 2019 Peer-reviewed
Beckner type of the logarithmic Sobolev and a new type of Shannon's inequalities and an application to the uncertainty principle

H. Kubo, T. Ogawa, T. Suguro

Proceedings of the American Mathematical Society, Vol. 147 (4)(4) 1511-1518, 2019 Peer-reviewed
Localization of innexins in the antennae of the Japanese carpenter ant, Camponotus japonicus and its putative involvement in the chemosensory mechanism for nestmate-nonnestmate discrimination

Tatsuya Uebi, Yusuke Takeichi, Kouji Yasuyama, Naoyuki Miyazaki, Kazuyoshi Murata, Satoshi Kurihara, Eichi Takaya, Hideo Kubo, Toshiaki Omori, Mamiko Ozaki

CHEMICAL SENSES, 43(5) E142-E142, Jun, 2018 Peer-reviewed
Putative Neural Network Within an Olfactory Sensory Unit for Nestmate and Non-nestmate Discrimination in the Japanese Carpenter Ant: The Ultra-structures and Mathematical Simulation.

Yusuke Takeichi, Tatsuya Uebi, Naoyuki Miyazaki, Kazuyoshi Murata, Kouji Yasuyama, Kanako Inoue, Toshinobu Suzaki, Hideo Kubo, Naoko Kajimura, Jo Takano …

Frontiers in cellular neuroscience, 12(310) 310-310, 2018 Peer-reviewedInvited
An RNAi Screen for Genes Involved in Nanoscale Protrusion Formation on Corneal Lens in Drosophila melanogaster.

Ryunosuke Minami, Chiaki Sato, Yumi Yamahama, Hideo Kubo, Takahiko Hariyama, Ken-Ichi Kimura

Zoological science, 33(6) 583-591, Dec, 2016 Peer-reviewed
ON THE POINTWISE DECAY ESTIMATE FOR THE WAVE EQUATION WITH COMPACTLY SUPPORTED FORCING TERM

Hideo Kubo

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 14(4) 1469-1480, Jul, 2015 Peer-reviewed
On the exterior problem for nonlinear wave equations with small initial data

Hideo Kubo

NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS, 64 281-288, 2015 Peer-reviewed
Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions

Hideo Kubo

JOURNAL OF DIFFERENTIAL EQUATIONS, 257(8) 2765-2800, Oct, 2014 Peer-reviewed
Global existence for quadratically perturbed massless Dirac equations under the null condition

S. Katayama, H. Kubo

Fourier Analysis: Pseudo-Differential Operators,Time-Frequency Analysis and Partial Differential Equations(edited by M. Ruzhansky and V. Turunen), 253-262, 2014 Peer-reviewed
ALMOST GLOBAL EXISTENCE FOR EXTERIOR NEUMANN PROBLEMS OF SEMILINEAR WAVE EQUATIONS IN 2D

Soichiro Katayama, Hideo Kubo, Sandra Lucente

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 12(6) 2331-2360, Nov, 2013 Peer-reviewed
GLOBAL EXISTENCE FOR EXTERIOR PROBLEMS OF SEMILINEAR WAVE EQUATIONS WITH THE NULL CONDITION IN 2D

Hideo Kubo

EVOLUTION EQUATIONS AND CONTROL THEORY, 2(2) 319-335, Jun, 2013 Peer-reviewed
LOWER BOUND OF THE LIFESPAN OF SOLUTIONS TO SEMILINEAR WAVE EQUATIONS IN AN EXTERIOR DOMAIN

Soichiro Katayama, Hideo Kubo

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 10(2) 199-234, Jun, 2013 Peer-reviewed
Opal Films with Dome-Shaped Structures Fabricated by Hot Embossing

Hiroshi Fudouzi, Takahiko Hariyama, Yumi Yamahama, Shinya Yoshioka, Daisuke Ishii, Ken-ichi Kimura, Hideo Kubo, Masatsugu Shimomura, Yoshihiro Uodu

KOBUNSHI RONBUNSHU, 70(5) 227-231, May, 2013 Peer-reviewed
Generalized wave operators for a system of semilinear wave equations in three space dimensions

Hideo Kubo, Koji Kubota

HOKKAIDO MATHEMATICAL JOURNAL, 42(1) 81-111, Feb, 2013 Peer-reviewed

Misc.

Lower bound of the lifespan of solutions to nonlinear elastic wave equation (Regularity and Singularity for Geometric Partial Differential Equations and Conservation Laws)

Kubo Hideo

RIMS Kokyuroku, 1845 33-58, Jul, 2013
26pXR-10 Multilinear operators: a natural extension of the Hirota's bilinear operator

Endo Kentaro, Kubo Hideo, Toda Kouichi

Meeting abstracts of the Physical Society of Japan, 68(1) 336-336, Mar 26, 2013
A remark on long range effect for a system of semilinear wave equation

Hideo Kubo, Motoharu Takaki

Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 2010
The rate of convergence to the asymptotics for the wave equation in an exterior domain

Soichiro Katayama, Hideo Kubo

Funkcialaj Ekvacioj, 53(3) 331-358, 2010
On the large time behavior of solutions to semilinear system of the wave equation

Soichiro Katayama, Hideo Kubo

Proceedings of the 5th International ISSAC congress, 2009
An alternative proof of global existence for nonlinear wave equations in an exterior domain

Soichiro Katayama, Hideo Kubo

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 60(4) 1135-1170, Oct, 2008
An elementary proof of global existence for nonlinear wave equations in an exterior domain

Soichiro Katayama, Hideo Kubo

J. Math. Soc. Japan, 2008
Decay estimates of a tangential derivative to the light cone for the wave equation and their

Soichiro Katayama, Hideo Kubo

SIAM J. Math. Anal., 39(6) 1851-1862, 2008
Asymptotic behavior of solutions to semilinear systems of wave equations,

Soichiro Katayama, Hideo Kubo

Indiana Univ. Math. J., 2008
Blow-up for nonlinear wave equations with multiple speeds (Evolution Equations and Asymptotic Analysis of Solutions)

Kubo Hideo, Ohta Masahito

RIMS Kokyuroku, 1358 77-97, Feb, 2004
Supercritical semilinear wave equation with non-negative potential

Georgiev, V, C Heiming, H Kubo

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 26(11-12) 2267-2303, 2001
Supercritical semilinear wave equation with non-negative potential

Georgiev, V, C Heiming, H Kubo

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 26(11-12) 2267-2303, 2001
Small data blowup for systems of semilinear wave equations with different propagation speeds in three space dimensions (vol 163, pg 475, 2000)

H Kubo, M Ohta

JOURNAL OF DIFFERENTIAL EQUATIONS, 168(2) 477-477, Dec, 2000
Asymptotic behaviors of radial solutions to semilinear wave equations in odd space dimensions

Hideo Kubo, Kôji Kubota

Hokkaido Mathematical Journal, 24(1) 9-51, 1995

Books and Other Publications

多変数の微積分とベクトル解析 (新・数理/工学ライブラリ応用数学 3)

神保秀一, 久保英夫 (Role: Joint author)

数理工学社, Sep 10, 2020 (ISBN: 4864810680)
The role of metrics in the theory of partial differential equations, Advanced Studies in Pure Mathematics, 85

Y. Giga, N. Hamamuki, H. Kuroda, T. Ozawa, H. Kubo (Role: Joint editor)

Mathematical Society of Japan, 2020 (ISBN: 9784864970907)
RIMS Kôkyûroku Bessatsu B70 "Harmonic Analysis and Nonlinear Partial Differential Equations"

Hideo Takaoka, Hideo Kubo (Role: Joint editor)

Research Institute for Mathematical Sciences Kyoto University, Apr, 2018
RIMS Kôkyûroku Bessatsu B65 "Harmonic Analysis and Nonlinear Partial Differential Equations"

Hideo Kubo, Hideo Takaoka

Research Institute for Mathematical Sciences Kyoto University, May, 2017
RIMS Kôkyûroku Bessatsu B60 "Harmonic Analysis and Nonlinear Partial Differential Equations"

Hideo Kubo, Mitsuru Sugimoto (Role: Joint editor)

Research Institute for Mathematical Sciences Kyoto University, Dec, 2016
RIMS Kôkyûroku Bessatsu B56 "Harmonic Analysis and Nonlinear Partial Differential Equations"

(Role: Joint editor)

Research Institute for Mathematical Sciences Kyoto University, Apr, 2016
RIMS Kôkyûroku Bessatsu B49 "Harmonic Analysis and Nonlinear Partial Differential Equations"

Research Institute for Mathematical Sciences Kyoto University, Apr, 2014
Hokkaido Math. J. vol.37

Hideo Kubo, Hiroyuki Takamura (Role: Joint editor, Special Issue “Nonlinear Wave Equations”)

2008
"New trends in the theory of hyperbolic equations", Oper. Theory Adv. Appl.

Hideo Kubo, Masahito Ohta (Role: Contributor, On the Global Behavior of Classical Solutions to Coupled Systems of Semilinear Wave Equations)

BirkhäuserVerlag, 2005
Dispersive Nonlinear Problems in Mathematical Physics

KUBO Hideo (Role: Contributor, On point-wise decay estimates for the wave equation and their applications)

2004

Presentations

Global existence and blow-up for nonlinear wave equations with inverse-square potential

Hideo Kubo

The 24th Northeastern Symposium on Mathematical Analysis, Feb 21, 2023 Invited
重み付きRellich 型不等式とその応用

Hideo Kubo

Nov 29, 2022 Invited
逆二乗冪型ポテンシャルを伴う非線型波動方程式の解析 (PartⅡ)

Hideo Kubo

Sep 6, 2022 Invited
逆二乗冪型ポテンシャルを伴う非線型波動方程式の解析 (PartⅠ)

Hideo Kubo

Sep 5, 2022 Invited
On the Rellich type inequality for Schrödinger operators with potential of inverse-square type

Hideo Kubo

Mathematical Analysis of Nonlinear Dispersive and Wave Equations, Aug 25, 2022 Invited
Global existence for semilinear wave equations with potential of inverse-square type

Hideo Kubo

Jul 23, 2022 Invited
On the nonlinear wave equation with lower order terms

Hideo Kubo

Seminar of Applications of Differential Equations in Sciences, Dec 22, 2021 Invited
低階項を伴う非線型波動方程式の初期値問題について

Nov 16, 2021 Invited
On the effect of slowly decreasing initial data for nonlinear wave equations with damping and potential in the scaling critical regime

Hideo Kubo

13th ISAAC Congress 2021, Aug 3, 2021 Invited
On the semilinear wave equation with lower order terms

Jan 27, 2020 Invited
非線型波動方程式に対する幾何学的および双対的アプローチ (Part I)

久保英夫

第9回室蘭非線形解析研究会, Jan 11, 2020 Invited
Bio-inspired mathematical model of an effective integration of information

KUBO Hideo

第80回応用物理学会秋季学術講演会, Sep 21, 2019 Invited
Asymptotic behavior for the nonlinear damped wave equation with a positive potential

KUBO Hideo

Jun 28, 2019 Invited
ルールダイナミクスの適応性について

KUBO Hideo

On the activation of adaptive filters by the self-organization, May 23, 2019
Critical exponent for nonlinear damped wave equations with non-negative potential in 3D

KUBO Hideo

Apr 26, 2019
波動方程式に対する重み付きエネルギー評価とその周辺

久保英夫

感応寺山セミナー2019, Jan 19, 2019
On the metric perturbation for semilinear wave equations

KUBO Hideo

SEMINARIO DI EQUAZIONI ALLE DERIVATE PARZIALI, Dec 13, 2018, Università di Pisa Invited
Global existence for nonlinear damped wave equations with a potential

KUBO Hideo

Sep 11, 2018 Invited
Remark on Kolmogorov's superposition theorem

KUBO Hideo

RIMS共同研究「Mathematical Analysis of Self-Organization with Constraints」, May 16, 2018
Global existence for nonlinear damped wave equations with potential

KUBO Hideo

Zhejiang-Hokudai Workshop, Mar 28, 2018 Invited

Professional Memberships

Research Projects

非線形消散波動方程式の一般論の構築と宇宙論および流体力学への応用

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2022 - Mar, 2027
強双曲型方程式において弱零条件の果たす役割の解明

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2024
New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamics

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S), Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, May, 2016 - Mar, 2021
Toward the integrated dynamics that connect evolutionary economics and engineering

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Jul, 2016 - Mar, 2019

Kubo Hideo, NISHIBE makoto
Advanced Analysis on Evolving Patterns in Nonlinear Phenomena Driven by Singular Structure

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S), Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, May, 2014 - Mar, 2019

GIGA Yoshikazu
An investigation of symmetries in the geometric structure and existence of global solutions to nonlinear dispersive wave equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2018

Takaoka Hideo, KUBO Hideo, NAKANISHI Kenji, TSUGAWA Kotaro
Biomimetics based on the functional structure and the formation process of organisms

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area), Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area), Japan Society for the Promotion of Science, Jun, 2012 - Mar, 2017

HARIYAMA Takahiko
Mathematical Theory of turbulence by the method of modern analysis and computational science

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S), Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, May, 2012 - Mar, 2017

KOZONO HIDEO, OZAWA Tohru
Global behavior for nonlinear wave

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2016

Kubo Hideo, KATAYAMA Soichiro, TAKAMURA Hiroyuki, HOSHIGA Akira, NAKAMURA Makoto, DOI Kazuyuki
Quantum stochastic analysis - Transforms and spectral analysis

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2015

OBATA Nobuaki, FUKUIZUMI Reika, HASEGAWA Takehisa, SEGAWA Etsuo, KUBO Hideo, HIAI Fumio, SUZUKI Kanako
Analysis of differential equations on graphs.

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2011 - 2013

TRUSHIN Igor, KUBO Hideo, MOCHIZUKI Hiyoshi
Theory of global well-posedness on the nonlinear partial differential equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S), Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, 2008 - 2012

KOZONO Hideo, YANAGIDA Eiji, ISHIGE Kazuhiro, NAKAMURA Makoto, KUBO Hideo, KANEDA Yukio, ISHIHARA Takashi, YOSHIMATSU Katsunori, KAGEI Yoshiyuki, EI Shinichro
On the limiting amplitude principle for the exterior problem of the wave equation

Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research, Grant-in-Aid for Challenging Exploratory Research, Japan Society for the Promotion of Science, 2010 - 2011

KUBO Hideo
Research of global behavior of classical solutions for quasilinear Wave equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2008 - 2010

HOSHIGA Akira, KATAYAMA Soichiro, KUBO Hideo, KUROKAWA Yuki
Phase Space Analysis of Partial Differential Equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2007 - 2010

NISHITANI Tatsuo, HAYASHI Nakao, DOI Shinichi, SUGIMOTO Mitsuru, SUNAGAWA Hideaki, KUBO Hideo, TAKUWA Hideki, UMEDA Tomio, IWASAKI Chisato, HOSHIRO Toshihiko, FUJIIE SETSURO, TOMITA Naohito
On study of evolution equations with hyperbolic properties

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2007 - 2010

HAYASHI Nakao, NISHITANI Tatsuo, DOI Shinichi, KUBO Hideo
On the asymptotic behavior of solution to systems of nonlinear wave equations of long range type

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2005 - 2007

KUBO Hideo, HAYASHI Nakao, MATSUMURA Akitaka
On study of partial differential equations describing natural phenomena

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2003 - 2005

HAYASHI Nakao, NISHITANI Tatsuo, DOI Shin-ichi, MATSUMURA Akitaka, KUBO Hideo, SUGIMOTO Mitsuru
Mathematical analysis of interface problems in mathematical physics

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2002 - 2004

SHIMIZU Senjo, SHIBATA Yoshihiro, KIKUCHI Koji, HOSHIGA Akira, ADACHI Shinji, NAKAJIMA Toru
摂動型波動方程式に対する重みつき時空評価に関する研究

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, 2002 - 2004

Profile Information

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Research History

Education

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Awards

Papers

Misc.

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