Hideo Takaoka

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All published works

Action	Title	Year	Authors
+ PDF Chat	Large-time existence results for the nonlocal NLS around ground state solutions	2024	Hideo Takaoka Toshihiro Tamaki
+ PDF Chat	On the growth of Sobolev norm for the cubic NLS on two dimensional product space	2024	Hideo Takaoka
+ PDF	Global well-posedness for Cauchy problems of Zakharov-Kuznetsov equations on cylindrical spaces	2024	Osawa Satoshi Hideo Takaoka
+	Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation on cylindrical spaces	2024	Satoshi Osawa Hideo Takaoka
+	On the growth of Sobolev norm for the cubic NLS on two dimensional product space	2023	Hideo Takaoka
+	Bilinear Strichartz estimates for the KdV equation on the torus	2022	Hideo Takaoka
+ PDF	Remarks on blow-up criteria for the derivative nonlinear Schrödinger equation under the optimal threshold setting	2021	Hideo Takaoka
+ PDF	Energy transfer model and large periodic boundary value problem for the quintic nonlinear Schrödinger equations	2020	Hideo Takaoka
+	Remarks on blow-up criteria for the derivative nonlinear Schrodinger equation under the optimal threshold setting	2020	Hideo Takaoka
+	Energy transfer model and large periodic boundary value problem for the quintic nonlinear Schrodinger equations	2019	Hideo Takaoka
+ PDF	Energy transfer model for the derivative nonlinear Schrödinger equations on the torus	2017	Hideo Takaoka
+	Proceedings of the 41st Sapporo Symposium on Partial Differntial Equations	2016	Shin-Ichiro Ei Yoshikazu Giga Shuji Jimbo Hideo Kubo Tohru Ozawa Takashi Sakajo Hideo Takaoka Yoshihiro Tonegawa Kimitoshi Tsutaya
+	Energy transfer model for the derivative nonlinear Schrodinger equations on the torus	2016	Hideo Takaoka
+ PDF Chat	Local well-posedness of the nonlinear Schrödinger equations on the sphere for data in modulation spaces	2015	Hideo Takaoka
+	A priori estimates and weak solutions for the derivative nonlinear Schrödinger equation on torus below<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2015	Hideo Takaoka
+	Proceedings of the 40th Sapporo Symposium on Partial Differential Equations	2015	Shin-Ichiro Ei Shuji Jimbo Hideo Kubo Tohru Ozawa Takashi Sakajo Hideo Takaoka Yoshihiro Tonegawa Kimitoshi Tsutaya
+	A priori estimates and weak solutions for the derivative nonlinear Schrödinger equation on torus below $H^{1/2}$	2015	Hideo Takaoka
+	Local well-posedness of the nonlinear Schrödinger equations on the sphere for data in modulation spaces	2015	Hideo Takaoka
+	Proceedings of the 39th Sapporo Symposium on Partial Differential Equations	2014	Shin-Ichiro Ei Yoshikazu Giga Shuji Jimbo Hideo Kubo Takashi Sakajo Hideo Takaoka Yoshihiro Tonegawa Kimitoshi Tsutaya
+	Proceedings of the 38th Sapporo Symposium on Partial Differential Equations	2013	Yoshikazu Giga Shuji Jimbo Tohru Ozawa Kimitoshi Tsutaya Yoshihiro Tonegawa H. Kubo Takashi Sakajo Hideo Takaoka
+	Proceedings of the 37th Sapporo Symposium on Partial Differential Equations	2012	Tohru Ozawa Yoshikazu Giga Shuji Jimbo Hideo Takaoka Kimitoshi Tsutaya Yoshihiro Tonegawa Gen Nakamura
+	Proceedings of the 36th Sapporo Symposium on Partial Differential Equations	2011	Tohru Ozawa Yoshikazu Giga Takashi Sakajo Shuji Jimbo Hideo Takaoka Kimitoshi Tsutaya Yoshihiro Tonegawa Gen Nakamura
+	Proceedings of the 35th Sapporo Symposium on Partial Differential Equations	2010	Tohru Ozawa Yoshikazu Giga Takashi Sakajo Hideo Takaoka Kimitoshi Tsutaya Yoshihiro Tonegawa Gen Nakamura Shuji Jimbo
+ PDF	Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation	2010	J. Colliander M. Keel Gigiola Staffilani Hideo Takaoka Terence Tao
+	Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrodinger equation	2010	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Local well-posedness in low regularity of the MKDV equation with periodic boundary condition	2010	Kenji Nakanishi Hideo Takaoka Yoshio Tsutsumi
+	Proceeding of the 34th Sapporo Symposium on Partial Differential Equations	2009	Tohru Ozawa Takashi Sakajo Shuji Jimbo Hideo Takaoka Kimitoshi Tsutaya Yoshihiro Tonegawa Gen Nakamura Yoshikazu Giga
+ PDF Chat	Stability in H1/2 of the sum of K solitons for the Benjamin–Ono equation	2009	Stephen J. Gustafson Hideo Takaoka Tai‐Peng Tsai
+ PDF	Notes on symplectic non-squeezing of the KdV flow	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka T. Tao
+ PDF	Bilinear Strichartz estimates and applications to the cubic nonlinear Schrödinger equation in two space dimensions	2008	Hideo Takaoka
+ PDF	Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ<sup>3</sup>	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Weakly turbulent solutions for the cubic defocusing nonlinear Schrödinger equation	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka T. Tao
+ PDF	Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terry Tao
+	Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition	2008	Kenji Nakanishi Hideo Takaoka Yoshio Tsutsumi
+	Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2	2007	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Global wellposedness of the modified Benjamin-Ono equation with initial data in H1/2	2006	Carlos E. Kenig Hideo Takaoka
+ PDF	Symplectic nonsqueezing of the korteweg-de vries flow	2005	J. Colliander Gigliola Staffilani M. Keel Hideo Takaoka Terence Tao
+	Global wellposedness of the modified Benjamin-Ono equation with initial data in $H^{1/2}$	2005	Carlos E. Kenig Hideo Takaoka
+	Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup>	2004	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Symplectic nonsqueezing of the KdV flow	2004	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka T. Tao
+	Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3	2004	Jim Colliander Mark Keel Gigliola Staffilani Hideo Takaoka Terry Tao
+ PDF Chat	Multilinear estimates for periodic KdV equations, and applications	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+ PDF	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+ PDF Chat	A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative	2002	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao
+ PDF	Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive cubique sur <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>h</mml:mi><mml:mi>b</mml:mi><mml:mi>b</mml:mi><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow> <mml:mn>3</mml:mn> </mml:msup></mml:mrow></mml:math> en dessous l’espace d’énergie	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka T. Tao
+	Polynomial upper bounds for the instability of the Nonlinear Schrödinger equation below the energy norm	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm	2002	Jim Colliander Mark Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Global well-posedness for Schrodinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces	2001	Hideo Takaoka
+	On 2D Nonlinear Schrödinger Equations with Data on R×T	2001	Hideo Takaoka N. Tzvetkov
+	On global well-posedness of some nonlinear dispersive equations for rough data (Harmonic Analysis and Nonlinear P.D.E.)	2001	Hideo Takaoka
+	GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Global well-posedness for KdV in Sobolev Spaces of negative index	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka T. Tao
+ PDF	Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation	2001	Kenji Nakanishi Hideo Takaoka Yoshio Tsutsumi
+ PDF Chat	Global Well-Posedness for Schrödinger Equations with Derivative	2001	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao
+	Global well-posedness for KdV in Sobolev Spaces of negative index	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence C. Tao
+	None	2001	Hideo Takaoka N. Tzvetkov
+	Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	A refined global well-posedness result for Schrodinger equations with derivative	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Multilinear estimates for periodic KdV equations and applications	2001	Jim Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Global well-posedness for Schrödinger equations with derivative	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terry Tao
+ PDF	Well-posedness for the Kadomtsev-Petviashvili II equation	2000	Hideo Takaoka
+	Global well-posedness for the Kadomtsev-Petviashvili II equation	2000	Hideo Takaoka
+ PDF	Well-posedness for the Zakharov system with the periodic boundary condition	1999	Hideo Takaoka
+ PDF	Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity	1999	Hideo Takaoka
+ PDF	Global wellposedness for KdV below ${L^2}$	1999	J. Colliander Gigliola Staffilani Hideo Takaoka
+	TIME LOCAL WELL-POSEDNESS FOR THE ZAKHAROV SYSTEM WITH THE PERIODIC BOUNDARY CONDITION (Harmonic Analysis and Nonlinear Partial Differential Equations)	1998	Hideo Takaoka

Common Coauthors

Coauthor	Papers Together
M. Keel	28
J. Colliander	28
Gigliola Staffilani	28
Terence Tao	20
Shuji Jimbo	8
Yoshihiro Tonegawa	8
Kimitoshi Tsutaya	8
Takashi Sakajo	7
Yoshikazu Giga	7
Tohru Ozawa	7
T. Tao	5
Gen Nakamura	4
Jim Colliander	3
G. Staffilani	3
Shin-Ichiro Ei	3
Terry Tao	3
Yoshio Tsutsumi	3
Kenji Nakanishi	3
Hideo Kubo	3
N. Tzvetkov	2
Mark Keel	2
Carlos E. Kenig	2
Terence C. Tao	1
T. Tao	1
Toshihiro Tamaki	1
Tai‐Peng Tsai	1
Satoshi Osawa	1
Stephen J. Gustafson	1
Osawa Satoshi	1
H. Kubo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	33
+ PDF	A bilinear estimate with applications to the KdV equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega	26
+	None	1998	M. Keel Terence Tao	20
+ PDF Chat	A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative	2002	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao	16
+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	13
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	13
+	Global Solutions of Nonlinear Schrödinger Equations	1999	Jean Bourgain	12
+ PDF	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	12
+ PDF Chat	Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations	2001	Terence Tao	11
+	Global well-posedness for KdV in Sobolev Spaces of negative index	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence C. Tao	11
+	Periodic Korteweg de Vries equation with measures as initial data	1997	Jean Bourgain	11
+	The initial value problem for the derivative nonlinear Schrödinger equation in the energy space	1993	Nakao Hayashi	11
+	On the ill-posedness of some canonical dispersive equations	2001	Carlos E. Kenig Gustavo Ponce Luis Vega	10
+ PDF	Bilinear estimates and applications to 2d NLS	2001	J. Colliander Jean-Marc Delort Carlos E. Kenig Gigliola Staffilani	10
+	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	10
+ PDF Chat	Global Well-Posedness for Schrödinger Equations with Derivative	2001	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao	9
+ PDF Chat	Multilinear estimates for periodic KdV equations, and applications	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	9
+	GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	9
+ PDF	Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations	2001	H. A. Biagioni Felipe Linares	9
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	9
+ PDF	Global wellposedness for KdV below ${L^2}$	1999	J. Colliander Gigliola Staffilani Hideo Takaoka	8
+	Scattering in the energy space and below for 3D NLS	1998	Jean Bourgain	8
+	On the derivative nonlinear Schrödinger equation	1992	Nakao Hayashi Tohru Ozawa	8
+	None	1996	Jean Bourgain	8
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	8
+	Global well-posedness for semi-linear wave equations	2000	Carlos E. Kenig Gustavo Ponce Luis Vega	8
+ PDF	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	8
+	Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension	1982	Jeffrey Rauch Michael C. Reed	7
+	Global well-posedness for the modified korteweg-de vries equation	1999	German Fonsecal Felipe Linares Gustavo Ponce	7
+ PDF	Global low-regularity solutions for Kadomtsev-Petviashvili equation	2000	N. Tzvetkov	7
+ PDF	Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's	1995	Sergej B. Kuksin	7
+	Local and global well-posedness of wave maps on $\R^{1+1}$ for rough data	1998	Marcus Keel Terence Tao	7
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon	7
+	Smoothing estimates for null forms and applications	1995	Sergiù Klainerman Matei Machedon	7
+	Self-Spreading and Strength of Singularities for Solutions to Semilinear Wave Equations	1983	Michael Beals	7
+	Nonlinear Dispersive Equations	2006	Terence Tao	6
+ PDF	Aspects of Long Time Behaviour of Solutions of Nonlinear Hamiltonian Evolution Equations	1995	Jean Bourgain	6
+ PDF	Smoothing properties and retarded estimates for some dispersive evolution equations	1992	J. Ginibre G. Velo	6
+	L$^2$-Solutions for Nonlinear Schrodinger Equations and Nonlinear Groups	1985	誉志雄堤	6
+	On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations	1997	Gigliola Staffilani	6
+	Global well-posedness for Schrodinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces	2001	Hideo Takaoka	5
+	Energy Scattering for Nonlinear Klein–Gordon and Schrödinger Equations in Spatial Dimensions 1 and 2	1999	Kenji Nakanishi	5
+ PDF	Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity	1999	Hideo Takaoka	5
+ PDF	None	1994	Jean Bourgain	5
+	Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	5
+ PDF Chat	Global Regularity of Wave Maps¶II. Small Energy in Two Dimensions	2001	Terence Tao	5
+	Global well-posedness for the Kadomtsev-Petviashvili II equation	2000	Hideo Takaoka	4
+	Uniqueness of the ground state solution for Δu−u+u 3=0 and a variational characterization of other solutions	1972	Charles V. Coffman	4
+ PDF	Symplectic invariants and Hamiltonian dynamics	1995	Helmut Hofer Eduard Zehnder	4
+	On squeezing and flow of energy for nonlinear wave equations	1995	Sergei Kuksin	4