Asymptotic behaviors for the Jordan–Moore–Gibson–Thompson equation in the viscous case
Wenhui Chen; Hiroshi Takeda
Nonlinear Analysis, Sep. 2023, 234:113316 - 113316, Refereed

Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow
Wenhui Chen; Hiroshi Takeda
Applied Mathematics & Optimization, 25 Apr. 2023, 88(1), Refereed

Decay estimates of solutions to nonlinear elastic wave equations with viscoelastic terms in the framework of L-Sobolev spaces
Yoshiyuki Kagei; Hiroshi Takeda
Journal of Mathematical Analysis and Applications, Mar. 2023, 519(1):126801 - 126801, Refereed

Large time behavior of solutions to elastic wave with structural damping
Hiroshi Takeda
Journal of Differential Equations, Jul. 2022, 326:227 - 253, Refereed

Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term
Yoshiyuki Kagei; Hiroshi Takeda
Nonlinear Analysis, Jun. 2022, 219:112826 - 112826, Refereed

Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime
Makoto Nakamura; Hiroshi Takeda
Asymptotic Analysis, 06 Oct. 2021, 125(3-4):203 - 245, Refereed

Global existence results for semi-linear structurally damped wave equations with nonlinear convection
Tuan Anh Dao; Hiroshi Takeda
Journal of Hyperbolic Differential Equations, Sep. 2021, 18(03):729 - 760, Refereed

Uniform Energy Decay for Wave Equations with Unbounded Damping Coefficients
Ryo Ikehata; Hiroshi Takeda
Funkcialaj Ekvacioj, 2020, 63(1):133 - 152, Refereed

Critical exponent for semi-linear wave equations with double damping terms in exterior domains
D'Abbicco Marcello; Ikehata Ryo; Takeda Hiroshi
NoDEA Nonlinear Differential Equations Appl., 2019, 26(6):Paper No. 56, Refereed

Large time behavior of global solutions to nonlinear wave equations with frictional and viscoelastic damping terms
Ikehata Ryo; Takeda Hiroshi
Osaka J. Math., 2019, 56(4):807, Refereed

Asymptotic Profiles of Solutions for Structural Damped Wave Equations
Ikehata Ryo; Takeda Hiroshi
J. Dynam. Differential Equations, 2019, 31(1):537, Refereed

Unconditional small data global well-posedness for nonlinear beam equations with weak damping
Hiroshi Takeda
Nonlinear Analysis: Real World Applications, 01 Jun. 2018, 41:1 - 33, Refereed

Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms
Ryo Ikehata; Hiroshi Takeda
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Jan. 2017, 148:228 - 253, Refereed

Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation
Tatsuki Kawakami; Hiroshi Takeda
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, Oct. 2016, 23(5):23:54, Refereed

LARGE TIME BEHAVIOR OF SOLUTIONS FOR A NONLINEAR DAMPED WAVE EQUATION
Hiroshi Takeda
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, Jan. 2016, 15(1):41 - 55, Refereed

On the decay property of solutions to the Cauchy problem of the semilinear beam equation with weak damping for large initial data
Hiroshi Takeda; Shuji Yoshikawa
NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS, 2015, 64:507 - 514, Refereed

Large time behavior of global solutions of the semilinear damped beam equation with slowly decaying data
Hiroshi Takeda
Journal of Mathematical Analysis and Applications, 2015, 423(2):898 - 912, Refereed

Higher-order expansion of solutions for a damped wave equation
Hiroshi Takeda
ASYMPTOTIC ANALYSIS, 2015, 94(1-2):1 - 31, Refereed

Asymptotic profile of solutions to a hyperbolic Cahn-Hilliard equation
Takeda Hiroshi; Maekawa Yasunori; Kawashima Shuichi
Bull. Inst. Math. Acad. Sin. (N.S.), 2015, 10(4):479, Refereed

On the initial value problem of the semilinear beam equation with weak damping I: Smoothing effect
Hiroshi Takeda; Shuji Yoshikawa
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, May 2013, 401(1):244 - 258, Refereed

Asymptotic profiles of solutions for the isothermal Falk-Konopka system of shape memory alloys with weak damping
Hiroshi Takeda; Shuji Yoshikawa
Asymptotic Analysis, 2013, 82(3-4):331 - 372, Refereed

On the initial value problem of the semilinear beam equation with weak damping II: Asymptotic profiles
Hiroshi Takeda; Shuji Yoshikawa
JOURNAL OF DIFFERENTIAL EQUATIONS, Dec. 2012, 253(11):3061 - 3080, Refereed

Asymptotic profile of solutions for the limit unstable Cahn-Hilliard equation with inertial term
Takeda Hiroshi; Yoshikawa Shuji
Differential Integral Equations, 2012, 25(3-4):341, Refereed

Large time behavior of solutions for a system of nonlinear damped wave equations
Takayoshi Ogawa; Hiroshi Takeda
JOURNAL OF DIFFERENTIAL EQUATIONS, Dec. 2011, 251(11):3090 - 3113, Refereed

GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER ORDER NONLINEAR DAMPED WAVE EQUATIONS
Hiroshi Takeda
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Sep. 2011, 31(Dynamical systems, differential equations and applications. 8th AIMS Conference. Suppl. Vol. II):1358 - 1367, Refereed

Global existence of solutions for a system of nonlinear damped wave equations
Ogawa Takayoshi; Takeda Hiroshi
Differential Integral Equations, 2010, 23(7-8):635, Refereed

Global existence and nonexistence of solutions for a system of nonlinear damped wave equations
Hiroshi Takeda
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Dec. 2009, 360(2):631 - 650, Refereed

Non-existence of weak solutions to nonlinear damped wave equations in exterior domains
Takayoshi Ogawa; Hiroshi Takeda
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, May 2009, 70(10):3696 - 3701, Refereed

非線形消散型波動方程式の解の漸近形について
竹田 寛志
福岡工業大学エレクトロニクス研究所所報, Oct. 2016, 33:53 - 57

消散型波動方程式の解の時間大域的な挙動について
竹田 寛志
福岡工業大学エレクトロニクス研究所所報, Oct. 2015, 32:67 - 70

非線形消散型梁方程式の解の大域挙動について
竹田 寛志
福岡工業大学エレクトロニクス研究所所報, Oct. 2014, 31:47 - 50

消散項を含む双曲型・分散型方程式の漸近解析
日本学術振興会: 科学研究費助成事業, 基盤研究（C）
Apr. 2019 - Mar. 2023

解析学に基づくアインシュタイン方程式の総合研究
日本学術振興会: 科学研究費助成事業, 基盤研究（Ｂ）
Apr. 2017 - Mar. 2021

消散項を含む発展方程式の解の定性的性質の研究
日本学術振興会: 科学研究費助成事業, 若手研究（Ｂ）
Apr. 2015 - Mar. 2019

熱弾性と熱弾塑性の数学解析
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C)
01 Apr. 2013 - 31 Mar. 2016

非線形消散型波動方程式における時間大域的可解性と非線形作用の関係性
日本学術振興会: 科学研究費補助金, 若手研究（Ｂ）
Apr. 2011 - Mar. 2015