Haruhisa　ISHIDA

Department of Computer and Network EngineeringAssociate Professor
Cluster I (Informatics and Computer Engineering)Associate Professor
Division of General Education（School of Informatics and Engineering ）Associate Professor
Division of General Education（Graduate School of Informatics and Engineering）Associate Professor
Researcher Information

Degree

  • Doctor of Philosophy (Science), University of Tsukuba

Research Keyword

  • 漸近解析
  • 振動理論
  • 適切性
  • 初期値問題
  • 微分方程式
  • asymptotic analysis
  • oscillation theory
  • well-posedness
  • Cauchy problem
  • differential equations

Field Of Study

  • Natural sciences, Mathematical analysis
  • Natural sciences, Basic analysis
Research Activity Information

Paper

  • On second order weakly hyperbolic equations and the ultradifferentiable classes
    Fumihiko Hirosawa; Haruhisa Ishida
    Journal of Differential Equations, 255, 7, 1437-1468, 01 Oct. 2013
    Scientific journal, English
    DOI URL
  • On asymptotic behaviour of solutions to linear differential systems with variable coeffcients via characteristic numbers
    Haruhisa Ishida; Hyung Ju Lee
    Funkcialaj Ekvacioj, 53, 3, 359-379, Dec. 2010
    Scientific journal, English
    DOI URL
  • Oscillatory properties for semilinear degenerate hyperbolic equations of second order
    Haruhisa Ishida; Yasuo Yuzawa
    Journal of Mathematical Analysis and Applications, 356, 2, 624-632, 15 Aug. 2009
    Scientific journal, English
    DOI URL
  • Levi conditions to the gevrey well-posedness for hyperbolic operators of higher order
    Haruhisa Ishida
    Kyoto Journal of Mathematics, 49, 1, 173-191, 2009
    Scientific journal, English
    DOI URL
  • Well-posedness of the cauchy problem in gevrey classes for some weakly hyperbolic equations of higher order
    Ferruccio Colombini; Haruhisa Ishida
    Journal d'Analyse Mathematique, 90, 13-25, 2003
    Scientific journal
    DOI URL
  • On a sharp Levi condition in Gevrey classes for some infinitely degenerate hyperbolic equations and its necessity
    Haruhisa Ishida; Karen Yagdjian
    Publications of the Research Institute for Mathematical Sciences, 38, 2, 265-287, Aug. 2002
    Scientific journal
    DOI URL
  • On the Cauchy problem for finitely degenerate hyperbolic equations of second order
    Ferruccio Colombini; Haruhisa Ishida; Nicola Orrú
    Arkiv for Matematik, 38, 2, 223-230, Oct. 2000
    Scientific journal
    DOI URL

MISC

  • On second order weakly hyperbolic equations and the ultradifferentiable classes
    Fumihiko Hirosawa; Haruhisa Ishida
    Oct. 2013, JOURNAL OF DIFFERENTIAL EQUATIONS, 255, 7, 1437-1468, English, 0022-0396, WOS:000322092900003
    DOI URL
  • On second order weakly hyperbolic equations and the ultradifferentiable classes
    2013, Journal of Differential Equations, 255, 7, 1437-1468
    DOI URL
  • On Asymptotic Behaviour of Solutions to Linear Differential Systems with Variable Coefficients via Characteristic Numbers
    Haruhisa Ishida; Hyung-Ju Lee
    Dec. 2010, FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 53, 3, 359-379, English, 0532-8721, WOS:000285497600002
    DOI URL
  • 退化双曲型方程式に対する振動定理について
    2010, 愛媛大学工学部, 7
  • On asymptotic behavior of solutions to linear differential systems with variable coefficients via characteristic numbers
    2010, Funkcialaj Ekvacioj (Serio Internacia), 53, 3, 359-379
    DOI URL
  • Oscillatory properties for semilinear degenerate hyperbolic equations of second order
    Haruhisa Ishida; Yasuo Yuzawa
    Aug. 2009, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 356, 2, 624-632, English, 0022-247X, WOS:000266339700020
    DOI URL
  • 新しい特性数による変数係数線形微分方程式系の解の挙動について
    2009, 日本大学理工学部数学教室
  • Levi conditions to the Gevrey well-posedness for hyperbolic operators of higher order
    Haruhisa Ishida
    2009, JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 49, 1, 173-191, English, 0023-608X, WOS:000267269200009
    DOI URL
  • Levi conditions to the Gevrey well-posedness for hyperbolic operators of higher order
    2009, Journal of Mathematics of Kyoto University, 49, 1, 173-191
  • Oscillatory properties for semilinear degenerate hyperbolic equations of second order
    2009, Journal of Mathematical Analysis and Applications, 356, 2, 624-632
    DOI URL
  • Colombini-Taglialatela 型の Levi 条件の改良への試み
    2008, 山口大学大学院理工学研究科数理科学教室, 1
  • 多項式位数の解をもつ線形常微分方程式系の性質について
    2008, 東京都立産業技術高等専門学校, 7
  • Asymptotic behaviour of solutions to systems of linear ODEs with variable coefficients via characteristic numbers
    2008, Department of Mathematics, Faculty of Science, Kyoto University, 13
  • An endeavor to improve the Levi condition of Colombini and Taglialatela type
    2008, Department of Mathematical Sciences, Faculty of Science, Yamaguchi University, 1
  • Asymptotic behaviour of solutions to systems of linear ODEs with variable coefficients via characteristic numbers
    2008, Department of Mathematics, Faculty of Science, Kyoto University, 13
  • 荷重関数による高階双曲型方程式に対するレビ条件
    2007, 東海大学理学部数学教室
  • コロンビーニ・タリアラテラによるレビ条件の変種
    2007, 愛媛大学工学部, 13
  • 半線形退化双曲型方程式に対する振動性質
    2007, 京都大学大学院理学研究科数学教室, 1
  • 半線形退化双曲型方程式に対する振動性質Ｉ
    2007, 東海大学 山中湖セミナーハウス, 17
  • Levi conditions for higher order hyperbolic equations by weight functions
    2007, Department of Mathematics, Faculty of Science, Tokai University
  • A variant of the Levi condition by Colombini and Taglialatela
    2007, Faculty of Technology, Ehime University, 13
  • Oscillatory properties for semilinear degenerate hyperbolic equations
    2007, Department of Mathematics, Faculty of Science, Kyoto University, 1
  • Oscillatory properties for semilinear degenerate hyperbolic equations I
    2007, Seminar House of Tokai University at Yamanakako, 17
  • Ｓ．ベルンシュタインの定理と関連した解析関数の挙動
    2006, 京都大学大学院理学研究科数学教室, 8
  • Asymptotic of analytic functions related with S. Bernstein's theorem
    2006, Department of Mathematics, Graduate School of Science, Kyoto University, 8
  • 技術革新の普及を表すマンスフィールドモデルの拡張について
    2005, 宮崎大学教育文化学部, 2
  • On some extension of E. Mansfield's model on the spread of technological innovation
    2005, Faculty of Education and Culture, Miyazaki University, 2
  • 発展方程式に対する初期値問題の C∞ 適切性
    2004, 東海大学理学部数学教室
  • C∞ wellposedness of the Cauchy problem for evolution equations
    2004, Department of Mathematics, Faculty of Science, Tokai University
  • Well-posedness of the Cauchy problem in Gevrey classes for some weakly hyperbolic equations of higher order
    F Colombini; H Ishida
    2003, JOURNAL D ANALYSE MATHEMATIQUE, 90, 13-25, English, 0021-7670, WOS:000226077700002
  • Well-posedness of the Cauchy problem in Gevrey classes for some weakly hyperbolic equations of higher order
    2003, Journal d'Analyse Mathematique, 90, 13-25
  • On a sharp Levi condition in Gevrey classes for some infinitely degenerate hyperbolic equations and its necessity
    H Ishida; K Yagdjian
    Aug. 2002, PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 38, 2, 265-287, English, 0034-5318, WOS:000179206800003
    DOI URL
  • On a sharp Levi condition in Gevrey classes for some infinitely degenerate hyperbolic equations and its necessity
    2002, Publications of the Research Institute for Mathematical Sciences, Kyoto University, 38, 2, 265-287
    DOI URL
  • On the Cauchy problem for finitely degenerate hyperbolic equations of second order
    F Colombini; H Ishida; N Orru
    Oct. 2000, ARKIV FOR MATEMATIK, 38, 2, 223-230, English, 0004-2080, WOS:000174336700002
  • The initial value problem for some degenerate hyperbolic equations of second order in Gevrey classes
    2000, Funkcialaj Ekvacioj (Serio Internacia), 43, 1, 71-85
  • On the Cauchy problem for finitely degenerate hyperbolic equations of second order
    2000, Arkiv fo"r Matematik, 38, 2, 223-230
  • The Cauchy problem for weakly hyperbolic equations of second order
    Ishida, Haruhisa
    Institute of Mathematics, University of Tsukuba, Jun. 1999, Tsukuba journal of mathematics, 23, 1, 1-26, Japanese, 0387-4982, 110000027613, AA00874643
    URL
  • The Cauchy problem for weakly hyperbolic equations of second order
    1999, Tsukuba Journal of Mathematics, 23, 1, 1-26
  • Global smooth solutions of semilinear weakly hyperbolic equations with logarithmic nonlinearity
    1998, Ehime Univ., 74-81
  • Global smooth solutions of semilinear weakly hyperbolic equations with logarithmic nonlinearity
    1998, Ehime Univ., 74-81
  • On uniform well-posedness of the abstract Cauchy problem
    Haruhisa Ishida
    Institute of Mathematics, University of Tsukuba, Dec. 1997, Tsukuba journal of mathematics, 21, 3, 617-628, English, 0387-4982, 110000027544, AA00874643
    URL
  • On uniform well-posedness of the abstract Cauchy problem
    1997, Tsukuba Journal of Mathematics, 21, 3, 617-628

Books and other publications

  • 理工系 基礎数学演習
    石田 晴久; 榎本 直也; 大野 真裕; 木田 雅成; 久藤 衡介; 田吉 隆夫; 内藤 敏機; 山口 耕平; 山田 裕一
    Japanese, vi, 230p, コロナ社, Apr. 2015, 9784339061093
  • 級数と微分方程式
    石田, 晴久; 申, 正善
    Japanese, iv, 179p, 牧野書店,星雲社 (発売), Sep. 2011, 9784434159046
  • 理工系 基礎数学演習
    株式会社 昭晃堂, 2005

Affiliated academic society

  • 日本数学会
  • Mathematical Society of Japan

Research Themes

  • 対角化による双曲型方程式の解のエネルギー評価法
    2012
  • Energy estimates for solutions of hyperbolic equations via refined diagonalizations
    2012
  • 退化双曲型方程式に対する振動理論
    基礎科学研究
    2007
  • Oscillation Theory for Degenerate Hyperbolic Equations
    Basic Science Research Program
    2007
  • 非線形弱双曲型方程式に対する大域可解性
  • 弱双曲型方程式に対する初期値問題の適切性
  • Global solvability for nonlinear weakly hyperbolic equations
  • Well-posedness of the Cauchy problem for weakly hyperbolic equations