Kyouhei Wakasa

Generating author description...

All published works

Action	Title	Year	Authors
+	Decay property for nonlinear damped wave equations in one space dimension	2024	Soichiro Katayama Kyouhei Wakasa Borislav Yordanov
+	The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights	2023	Shunsuke Kitamura Hiroyuki Takamura Kyouhei Wakasa
+	The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights	2022	Shunsuke Kitamura Hiroyuki Takamura Kyouhei Wakasa
+ PDF Chat	Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains	2021	N. Lai Mengyun Liu Kyouhei Wakasa Chengbo Wang
+ PDF Chat	Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass	2021	Masahiro Ikeda Ziheng Tu Kyouhei Wakasa
+ PDF Chat	On the critical decay for the wave equation with a cubic convolution in 3D	2021	Tomoyuki Tanaka Kyouhei Wakasa
+ PDF Chat	Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution	2020	Masahiro Ikeda Tomoyuki Tanaka Kyouhei Wakasa
+ PDF Chat	Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data	2020	Masahiro Ikeda Tomoyuki Tanaka Kyouhei Wakasa
+	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
+	Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data	2020	Masahiro Ikeda Tomoyuki Tanaka Kyouhei Wakasa
+	Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution	2020	Masahiro Ikeda Tomoyuki Tanaka Kyouhei Wakasa
+	Lifespan estimates for $2$-dimensional semilinear wave equations in asymptotically Euclidean exterior domains	2020	N. Lai Mengyun Liu Kyouhei Wakasa Chengbo Wang
+	On the critical decay for the wave equation with a cubic convolution in 3D	2020	Tomoyuki Tanaka Kyouhei Wakasa
+	Finite time blowup of solutions to semilinear wave equation in an exterior domain	2019	Motohiro Sobajima Kyouhei Wakasa
+ 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
+	Blow-up phenomena of semilinear wave equations and their weakly coupled systems	2019	Masahiro Ikeda Motohiro Sobajima Kyouhei Wakasa
+	Critical exponent for nonlinear damped wave equations with non-negative potential in 3D	2019	Vladimir Georgiev Hideo Kubo Kyouhei Wakasa
+	Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass	2019	Masahiro Ikeda Ziheng Tu Kyouhei Wakasa
+	Blow-up of solutions to critical semilinear wave equations with variable coefficients	2018	Kyouhei Wakasa Borislav Yordanov
+	On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case	2018	Kyouhei Wakasa Borislav Yordanov
+	Blow-up of solutions to critical semilinear wave equations with variable coefficients	2018	Kyouhei Wakasa Borislav Yordanov
+	On the blow-up for critical semilinear wave equations with damping in the scattering case	2018	Kyouhei Wakasa Borislav Yordanov
+	Critical exponent for nonlinear damped wave equations with non-negative potential in 3D	2018	Vladimir Georgiev Hideo Kubo Kyouhei Wakasa
+	Finite time blowup of solutions to semilinear wave equation in an exterior domain	2018	Motohiro Sobajima Kyouhei Wakasa
+	The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension	2018	Masakazu Kato Hiroyuki Takamura Kyouhei Wakasa
+	Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent	2017	N. Lai Hiroyuki Takamura Kyouhei Wakasa
+	On the energy decay for dissipative nonlinear wave equations in one space dimension	2017	Kyouhei Wakasa Borislav Yordanov
+ PDF Chat	The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension	2017	Kyouhei Wakasa
+ PDF Chat	Global regularity for supercritical nonlinear dissipative wave equations in 3D	2017	Kyouhei Wakasa Borislav Yordanov
+ PDF Chat	Global existence for semilinear wave equations with the critical blow-up term in high dimensions	2016	Hiroyuki Takamura Kyouhei Wakasa
+ PDF Chat	The lifespan of solutions to semilinear damped wave equations in one space dimension	2016	Kyouhei Wakasa
+ PDF Chat	Blow-up of positive solutions to wave equations in high space dimensions	2016	Mohammad A. Rammaha Hiroyuk Takamura Hiroshi Uesaka Kyouhei Wakasa
+	Global Regularity for Supercritical Nonlinear Dissipative Wave Equations in 3D	2016	Kyouhei Wakasa Borislav Yordanov
+	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
+	Blow-up of solutions to semilinear wave equations with non-zero initial data	2015	Kyouhei Wakasa
+ PDF Chat	Almost global solutions of semilinear wave equations with the critical exponent in high dimensions	2014	Hiroyuki Takamura Kyouhei Wakasa
+	The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension	2014	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

Common Coauthors

Coauthor	Papers Together
Hiroyuki Takamura	18
Borislav Yordanov	8
Tomoyuki Tanaka	6
Masahiro Ikeda	6
Hiroshi Uesaka	6
Masakazu Kato	5
N. Lai	3
Takuto Imai	3
Motohiro Sobajima	3
Hiroyuki Takamura	3
Shunsuke Kitamura	2
Mohammad A. Rammaha	2
Vladimir Georgiev	2
Ziheng Tu	2
Chengbo Wang	2
Hideo Kubo	2
Yuki Kurokawa	2
Mengyun Liu	1
Masakazu Kato	1
Soichiro Katayama	1
Hiroyuk Takamura	1
Masahiro Ikeda	1
Mengyun Liu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Finite time blow up for critical wave equations in high dimensions	2005	Borislav Yordanov Qi S. Zhang	22
+	Blow-up of solutions of nonlinear wave equations in three space dimensions	1979	Fritz John	21
+ PDF Chat	Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions*	2007	Yi Zhou	18
+ PDF Chat	Improved Kato’s lemma on ordinary differential inequality and its application to semilinear wave equations	2015	Hiroyuki Takamura	17
+ PDF Chat	Weighted Strichartz estimates and global existence for semilinear wave equations	1997	Vladimir Georgiev Hans Lindblad Christopher D. Sogge	16
+	Finite-time blow-up for solutions of nonlinear wave equations	1981	Robert T. Glassey	16
+ PDF Chat	The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions	2011	Hiroyuki Takamura Kyouhei Wakasa	16
+	Existence in the large for ?u=F(u) in two space dimensions	1981	Robert T. Glassey	16
+	Critical Curve for p-q Systems of Nonlinear Wave Equations in Three Space Dimensions	2000	Rentarô Agemi Yuki Kurokawa Hiroyuki Takamura	14
+	Blow-up for solutions of □u=\|u\|<sup>p</sup>with small initial data.	1990	Hans Lindblad	14
+	Nonlinear scattering theory at low energy	1981	Walter A. Strauss	13
+	A shift in the Strauss exponent for semilinear wave equations with a not effective damping	2015	Marcello D’Abbicco Sandra Lucente Michael Reissig	13
+ 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	13
+	Nonexistence of global solutions to semilinear wave equations in high dimensions	1984	Thomas C. Sideris	12
+ PDF Chat	The threshold of effective damping for semilinear wave equations	2014	Marcello D’Abbicco	12
+	Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent	2017	N. Lai Hiroyuki Takamura Kyouhei Wakasa	10
+	Biow-up of solutions of some nonlinear hyperbolic equations	1980	Tosio Kato	8
+ PDF Chat	Life-Span of Solutions to Critical Semilinear Wave Equations	2013	Yi Zhou Wei Han	8
+	Long-time existence for small amplitude semilinear wave equations	1996	Hans Lindblad Christopher D. Sogge	8
+	Critical Exponent for the Semilinear Wave Equation with Scale Invariant Damping	2013	Yuta Wakasugi	8
+	Nonlinear Wave Equations	1990	Walter A. Strauss	8
+	A note on the blowup of scale invariant damping wave equation with sub-Strauss exponent	2017	Ziheng Tu Jiayun Lin	8
+	Plane Waves and Spherical Means: Applied to Partial Differential Equations	1981	Fritz John	8
+	Global Existence Theorem for Semilinear Wave Equations with Non-compact Data in Two Space Dimensions	1993	Kimitoshi Tsutaya	7
+	The equation <i>u<sub>tt</sub> − Δu = \|u\|<sup>p</sup></i> for the critical value of <i>p</i>	1985	Jack Schaeffer	7
+ PDF Chat	Blow-up for semilinear wave equations with slowly decaying data in high dimensions	1995	Hiroyuki Takamura	7
+	Blow-up phenomena of semilinear wave equations and their weakly coupled systems	2019	Masahiro Ikeda Motohiro Sobajima Kyouhei Wakasa	7
+	On the critical decay and power for semilinear wave equtions in odd space dimensions	1996	Hideo Kubo	7
+	Existence of a global solution to a semi-linear wave equation with initial data of non-compact support in low space dimensions	1993	Kôji Kubota	6
+ PDF Chat	The lifespan of solutions to semilinear damped wave equations in one space dimension	2016	Kyouhei Wakasa	6
+	A Global Existence Theorem for Semilinear Wave Equations with Data of Non Compact Support in Two Space Dimensions	1992	Tsutaya Kimitoshi Rentarô Agemi	6
+	An elementary proof of Strauss conjecture	2014	N. Lai Yi Zhou	6
+	On a wave equation with a cubic convolution	1982	G. Perla Menzala Walter A. Strauss	6
+ PDF Chat	Life-span of semilinear wave equations with scale-invariant damping: Critical Strauss exponent case	2019	Jiayun Lin Ziheng Tu	6
+	Finite-time blow-up for nonlinear wave equations in high dimensions	1987	Mohammad A. Rammaha	6
+	On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles	2009	Kunio Hidano Jason Metcalfe Hart F. Smith Christopher D. Sogge Yi Zhou	6
+ PDF Chat	Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping	2019	Masahiro Ikeda Motohiro Sobajima Yuta Wakasugi	6
+ PDF Chat	A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions	1995	Tatsien Li Yi Zhou	6
+ PDF Chat	Global existence and blow-up for semilinear damped wave equations in three space dimensions	2019	Masakazu Kato Miku Sakuraba	6
+	Critical Exponent for a Nonlinear Wave Equation with Damping	2001	Grozdena Todorova Borislav Yordanov	5
+	Generalized Strichartz Estimates on Perturbed Wave Equation and Applications on Strauss Conjecture	2009	Xin Yu	5
+	The lifespan of solutions to nonlinear systems of a high-dimensional wave equation	2005	Vladimir Georgiev Hiroyuki Takamura Yi Zhou	5
+	Critical exponent for the semilinear wave equation with time-dependent damping	2012	Jian Zhai Kenji Nishihara Jiayun Lin	5
+ PDF Chat	The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension	2017	Kyouhei Wakasa	5
+	Blow-up of solutions to critical semilinear wave equations with variable coefficients	2018	Kyouhei Wakasa Borislav Yordanov	5
+	Wave equations with time-dependent dissipation II. Effective dissipation	2006	Jens Wirth	5
+ PDF Chat	Concerning the Strauss Conjecture and Almost Global Existence for Nonlinear Dirichlet-Wave Equations in 4-Dimensions	2008	Yi Du Jason Metcalfe Christopher D. Sogge Yi Zhou	5
+ PDF Chat	The lifespan of classical solutions to nonlinear wave equations in two space dimensions	1992	Rentarô Agemi Hiroyuki Takamura	5
+ PDF Chat	Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case	2018	N. Lai Hiroyuki Takamura	5
+	Blow-up theorem for semilinear wave equations with non-zero initial position	2010	Hiroyuki Takamura Hiroshi Uesaka Kyouhei Wakasa	5