Hiroyuki Takamura

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All published works

Action	Title	Year	Authors
+	Blow-up of classical solutions of quasilinear wave equations in one space dimension	2024	Yuki Haruyama Hiroyuki Takamura
+	Blow-up of solutions to semilinear wave equations with spatial derivatives	2024	Kerun Shao Hiroyuki Takamura Chengbo Wang
+ PDF Chat	Blow-up of solutions to semilinear wave equations with spatial derivatives	2024	Kerun Shao Hiroyuki Takamura Chengbo Wang
+ PDF Chat	A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity	2024	N. Lai Alessandro Palmieri Hiroyuki Takamura
+ PDF Chat	Blow-up of classical solutions of quasilinear wave equations in one space dimension	2024	Yuki Haruyama Hiroyuki Takamura
+ PDF Chat	Erratum to "The combined effect in one space dimension beyond the general theory for nonlinear wave equations"	2023	Katsuaki Morisawa Takiko Sasaki Hiroyuki Takamura
+	Recent developments on the lifespan estimate for classical solutions of nonlinear wave equations in one space dimension	2023	Hiroyuki Takamura
+	On a semilinear wave equation in anti-de Sitter spacetime: The critical case	2022	Alessandro Palmieri Hiroyuki Takamura
+	Semilinear wave equations of derivative type with spatial weights in one space dimension	2022	Shunsuke Kitamura Katsuaki Morisawa Hiroyuki Takamura
+ PDF Chat	A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type	2022	Alessandro Palmieri Hiroyuki Takamura
+	The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension	2021	Shunsuke Kitamura Katsuaki Morisawa Hiroyuki Takamura
+	Semilinear wave equations of derivative type with spatial weights in one space dimension	2021	Shunsuke Kitamura Katsuaki Morisawa Hiroyuki Takamura
+ PDF Chat	Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping	2020	N. Lai Nico Michele Schiavone Hiroyuki Takamura
+ PDF Chat	Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms	2020	Alessandro Palmieri Hiroyuki Takamura
+	Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma	2020	N. Lai Nico Michele Schiavone Hiroyuki Takamura
+	The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions	2020	Takuto Imai Masakazu Kato Hiroyuki Takamura Kyouhei Wakasa
+ PDF Chat	Nonexistence of Global Solutions for a Weakly Coupled System of Semilinear Damped Wave Equations of Derivative Type in the Scattering Case	2019	Alessandro Palmieri Hiroyuki Takamura
+ PDF Chat	The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension	2019	Masakazu Kato Hiroyuki Takamura Kyouhei Wakasa
+	The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension	2019	Masakazu Kato Hiroyuki Takamura Kyouhei Wakasa
+ PDF Chat	The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions	2019	Takuto Imai Masakazu Kato Hiroyuki Takamura Kyouhei Wakasa
+ PDF Chat	Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities	2019	Alessandro Palmieri Hiroyuki Takamura
+ PDF Chat	Wave-Like Blow-Up for Semilinear Wave Equations with Scattering Damping and Negative Mass Term	2019	Ning An Lai Nico Michele Schiavone Hiroyuki Takamura
+	Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey's conjecture	2019	N. Lai Hiroyuki Takamura
+	Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity	2018	N. Lai Hiroyuki Takamura
+ PDF Chat	Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case	2018	N. Lai Hiroyuki Takamura
+	Blow-up for semilinear damped wave equations with sub-Strauss and Strauss exponent in the scattering case	2017	N. Lai Hiroyuki Takamura
+	Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent	2017	N. Lai Hiroyuki Takamura Kyouhei Wakasa
+	Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey conjecture	2017	N. Lai Hiroyuki Takamura
+ PDF Chat	Global existence for semilinear wave equations with the critical blow-up term in high dimensions	2016	Hiroyuki Takamura Kyouhei Wakasa
+	The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions	2016	Takuto Imai Masakazu Kato Hiroyuki Takamura Kyouhei Wakasa
+ PDF Chat	Improved Kato’s lemma on ordinary differential inequality and its application to semilinear wave equations	2015	Hiroyuki Takamura
+ PDF Chat	Almost global solutions of semilinear wave equations with the critical exponent in high dimensions	2014	Hiroyuki Takamura Kyouhei Wakasa
+	Blow-Up of Positive Solutions to Wave Equations in High Space Dimensions	2014	Mohammad A. Rammaha Hiroyuki Takamura Hiroshi Uesaka Kyouhei Wakasa
+ PDF Chat	The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions	2012	Yuki Kurokawa Hiroyuki Takamura Kyouhei Wakasa
+	The Final Problem on the Optimality of the General Theory for Nonlinear Wave Equations	2012	Hiroyuki Takamura Kyouhei Wakasa
+	Sharp blow-up for semilinear wave equations with non-compactly supported data	2011	Hiroyuki Takamura Hiroshi Uesaka Kyouhei Wakasa
+ PDF Chat	The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions	2011	Hiroyuki Takamura Kyouhei Wakasa
+	The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions	2011	Yuki Kurokawa Hiroyuki Takamura Kyouhei Wakasa
+	Sharp blow-up for semilinear wave equations with non-compactly supported data	2011	Hiroyuki Takamura Hiroshi Uesaka Kyouhei Wakasa
+	The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions	2010	Hiroyuki Takamura Kyouhei Wakasa
+	Sharp blow-up for semilinear wave equations with non-compactly supported data	2010	Hiroyuki Takamura Hiroshi Uesaka Kyouhei Wakasa
+	Blow-up theorem for semilinear wave equations with non-zero initial position	2010	Hiroyuki Takamura Hiroshi Uesaka Kyouhei Wakasa
+	The lifespan of solutions to nonlinear systems of a high-dimensional wave equation	2005	Vladimir Georgiev Hiroyuki Takamura Yi Zhou
+	Mixed amplitude solutions of semilinear systems of 3-dimensional wave equations	2005	Hiroyuki Takamura
+	Mixed amplitude solutions of semilinear systems of 3-dimensional wave equations	2005	Hiroyuki Takamura
+ PDF Chat	A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems	2003	Yuki Kurokawa Hiroyuki Takamura
+	Blow-up for Semilinear Wave Equations with a Data of the Critical Decay having a Small Loss	2003	Yuki Kurokawa Hiroyuki Takamura
+	Nonexistence theorem for various systems of semilinear wave equations	2001	Hiroyuki Takamura
+	Critical Curve for p-q Systems of Nonlinear Wave Equations in Three Space Dimensions	2000	Rentarô Agemi Yuki Kurokawa Hiroyuki Takamura
+	The lifespan of classical solutions to systems of nonlinear wave equations	2000	Hiroyuki Takamura
+	Weighted pointwise estimates for the wave equation and its applications to nonlinear problems	2000	Hiroyuki Takamura
+	Remarks on the blow-up boundaries and rates for nonlinear wave equations	1998	Masahito Ohta Hiroyuki Takamura
+	Blow-up boundary and rate of solutions nonlinear wave equations	1998	Hiroyuki Takamura
+	The lifespan of classical solutions of nonlinear wave equations	1997	Hiroyuki Takamura
+	Blow-up boundaries and rates for nonlinear wave equations	1997	Hiroyuki Takamura Masato Ohta
+	Blow-up for semilinear wave equations	1996	Hiroyuki Takamura
+	Nonexistence of global solutions to semilinear wave equations	1995	Hiroyuki Takamura
+	Blow-up for semilinear wave equations in four or five space dimensions	1995	Hiroyuki Takamura
+ PDF Chat	Blow-up for semilinear wave equations with slowly decaying data in high dimensions	1995	Hiroyuki Takamura
+	Blow-up for nonlinear wave equations with slowly decaying data	1994	Hiroyuki Takamura
+	An elementary proof of the exponential blow‐up for semi‐linear wave equations	1994	Hiroyuki Takamura
+ PDF Chat	The lifespan of classical solutions to nonlinear wave equations in two space dimensions	1992	Rentarô Agemi Hiroyuki Takamura
+	The lifespan of classical solutions to nonlinear wave equations in two space dimensions	1991	Rentarô Agemi Hiroyuki Takamura

Common Coauthors

Coauthor	Papers Together
Kyouhei Wakasa	18
N. Lai	9
Alessandro Palmieri	6
Yuki Kurokawa	5
Hiroshi Uesaka	5
Masakazu Kato	5
Katsuaki Morisawa	4
Takuto Imai	3
Rentarô Agemi	3
Nico Michele Schiavone	3
Shunsuke Kitamura	3
Yuki Haruyama	2
Kerun Shao	2
Chengbo Wang	2
Masato Ohta	1
Ning An Lai	1
Mohammad A. Rammaha	1
Vladimir Georgiev	1
Masahito Ohta	1
Yi Zhou	1
Takiko Sasaki	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Blow-up of solutions of nonlinear wave equations in three space dimensions	1979	Fritz John	18
+	Finite time blow up for critical wave equations in high dimensions	2005	Borislav Yordanov Qi S. Zhang	17
+	Existence in the large for ?u=F(u) in two space dimensions	1981	Robert T. Glassey	15
+	Finite-time blow-up for solutions of nonlinear wave equations	1981	Robert T. Glassey	15
+	Nonexistence of global solutions to semilinear wave equations in high dimensions	1984	Thomas C. Sideris	15
+	Critical Curve for p-q Systems of Nonlinear Wave Equations in Three Space Dimensions	2000	Rentarô Agemi Yuki Kurokawa Hiroyuki Takamura	12
+ PDF Chat	Weighted Strichartz estimates and global existence for semilinear wave equations	1997	Vladimir Georgiev Hans Lindblad Christopher D. Sogge	12
+ PDF Chat	The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions	2011	Hiroyuki Takamura Kyouhei Wakasa	12
+ PDF Chat	Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case	2018	N. Lai Hiroyuki Takamura	11
+	Nonlinear Wave Equations, Formation of Singularities	1990	Fritz John	11
+	Blow-up for solutions of □u=\|u\|<sup>p</sup>with small initial data.	1990	Hans Lindblad	11
+	Biow-up of solutions of some nonlinear hyperbolic equations	1980	Tosio Kato	10
+ PDF Chat	Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions*	2007	Yi Zhou	10
+ PDF Chat	Improved Kato’s lemma on ordinary differential inequality and its application to semilinear wave equations	2015	Hiroyuki Takamura	10
+	BLOW UP OF SOLUTIONS TO THE CAUCHY PROBLEM FOR NONLINEAR WAVE EQUATIONS	2001	Yi Zhou	9
+	Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent	2017	N. Lai Hiroyuki Takamura Kyouhei Wakasa	9
+	The equation <i>u<sub>tt</sub> − Δu = \|u\|<sup>p</sup></i> for the critical value of <i>p</i>	1985	Jack Schaeffer	9
+ PDF Chat	Solution representations for a wave equation with weak dissipation	2003	Jens Wirth	9
+	Wave equations with time-dependent dissipation I. Non-effective dissipation	2005	Jens Wirth	8
+	Wave equations with time-dependent dissipation II. Effective dissipation	2006	Jens Wirth	8
+	Blow-up of solutions to nonlinear wave equations in two space dimensions	1991	Rentarô Agemi	8
+	Finite-time blow-up for nonlinear wave equations in high dimensions	1987	Mohammad A. Rammaha	8
+	Critical Exponent for the Semilinear Wave Equation with Scale Invariant Damping	2013	Yuta Wakasugi	7
+	Nonlinear Wave Equations	1990	Walter A. Strauss	7
+	The lifespan of solutions to nonlinear systems of a high-dimensional wave equation	2005	Vladimir Georgiev Hiroyuki Takamura Yi Zhou	7
+ PDF Chat	The lifespan of classical solutions to nonlinear wave equations in two space dimensions	1992	Rentarô Agemi Hiroyuki Takamura	7
+ PDF Chat	The threshold of effective damping for semilinear wave equations	2014	Marcello D’Abbicco	7
+	A note on the blowup of scale invariant damping wave equation with sub-Strauss exponent	2017	Ziheng Tu Jiayun Lin	7
+	Nonlinear scattering theory at low energy	1981	Walter A. Strauss	7
+	A shift in the Strauss exponent for semilinear wave equations with a not effective damping	2015	Marcello D’Abbicco Sandra Lucente Michael Reissig	7
+	Global behavior of solutions to nonlinear wave equations in three dimensions	1983	Thomas C. Sideris	7
+ PDF Chat	Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data	2018	Masahiro Ikeda Motohiro Sobajima	7
+ PDF Chat	A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions	1995	Tatsien Li Yi Zhou	7
+	Blow-up theorems for nonlinear wave equations	1973	Robert T. Glassey	6
+	On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case	2018	Kyouhei Wakasa Borislav Yordanov	6
+	Long-time existence for small amplitude semilinear wave equations	1996	Hans Lindblad Christopher D. Sogge	6
+	Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions	1986	Fumioki Asakura	6
+	Global existence of the solutions and formation of singularities for a class of hyperbolic systems	1997	Daniele Del Santo Vladimir Georgiev Enzo Mitidieri	6
+	Finite-Time Blow-Up for in Two Space Dimensions	1986	Jack Schaeffer	6
+	A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass	2018	Alessandro Palmieri Michael Reissig	6
+	Blow‐up for quasi‐linear wave equations in three space dimensions	1981	Fritz John	6
+	Global Existence Theorem for Semilinear Wave Equations with Non-compact Data in Two Space Dimensions	1993	Kimitoshi Tsutaya	6
+	Lower Bounds of the Life-Span of Small Classical Solutions for Nonlinear Wave Equations	1991	Tatsien Li	5
+	Plane Waves and Spherical Means: Applied to Partial Differential Equations	1981	Fritz John	5
+	Lifespan of solutions to the damped wave equation with a critical nonlinearity	2016	Masahiro Ikeda Takayoshi Ogawa	5
+ PDF Chat	Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients	2016	Yuta Wakasugi	5
+	A blow-up result for a nonlinear wave equation with damping: The critical case	2001	Qi S. Zhang	5
+ PDF Chat	The lifespan of solutions to semilinear damped wave equations in one space dimension	2016	Kyouhei Wakasa	5
+ PDF Chat	Life-span of semilinear wave equations with scale-invariant damping: Critical Strauss exponent case	2019	Jiayun Lin Ziheng Tu	5
+	A Global Existence Theorem for Semilinear Wave Equations with Data of Non Compact Support in Two Space Dimensions	1992	Tsutaya Kimitoshi Rentarô Agemi	5