H. Takaoka

发表

Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$

H. Takaoka, T. Tao, J. Colliander, 2001 .

Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation

T. Tao, J. Colliander, G. Staffilani, 2010 .

Local well-posedness of the nonlinear Schrödinger equations on the sphere for data in modulation spaces

H. Takaoka, 2015, 1502.04283.

Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2

T. Tao, J. Colliander, G. Staffilani, 2007, 0704.2730.

Global well-posedness and scattering for the energy-critical nonlinear Schr\"odinger equation in R^3

T. Tao, J. Colliander, G. Staffilani, 2004, math/0402129.

Global wellposedness of the modified Benjamin-Ono equation with initial data in H1/2

C. Kenig, H. Takaoka, 2005, math/0509573.

Global wellposedness for KdV below ${L^2}$

J. Colliander, G. Staffilani, H. Takaoka, 1999 .

Polynomial upper bounds for the instability of the Nonlinear Schr

T. Tao, J. Colliander, G. Staffilani, 2002, math/0212113.

Symplectic nonsqueezing of the KdV flow

T. Tao, J. Colliander, G. Staffilani, 2004, math/0412381.

SYMPLECTIC NON-SQUEEZING OF THE KDV FLOW

T. Tao, G. Staffilani, H. Takaoka, 2004 .

Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3

J. Colliander, G. Staffilani, M. Keel, 2003, math/0301260.

Multilinear estimates for periodic KdV equations, and applications

T. Tao, J. Colliander, G. Staffilani, 2001, math/0110049.

Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$

T. Tao, J. Colliander, G. Staffilani, 2001, math/0110045.

GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗

T. Tao, J. Colliander, G. Staffilani, 2001, math/0101263.

Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm

T. Tao, J. Colliander, G. Staffilani, 2002, math/0206218.

On 2D Nonlinear Schrödinger Equations with Data on R×T☆

H. Takaoka, N. Tzvetkov, 2001 .

Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$

T. Tao, J. Colliander, G. Staffilani, 2008 .

Global well-posedness for KdV in Sobolev spaces of negative index

T. Tao, J. Colliander, G. Staffilani, 2001, math/0101261.

Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition

Y. Tsutsumi, H. Takaoka, 2004 .

Multilinear estimates for periodic KdV equations, and applications

Terence Tao, Hideo Takaoka, Gigliola Staffilani, 2001, math/0110049.

Bilinear Strichartz estimates for the KdV equation on the torus

H. Takaoka, 2022, 2208.04453.

A priori estimates and weak solutions for the derivative nonlinear Schr\"{o}dinger equation on torus below $H^{1/2}$

H. Takaoka, 2015, 1508.03076.

POLYNOMIAL UPPER BOUNDS FOR THE ORBITAL INSTABILITY OF THE 1 D CUBIC NLS BELOW THE ENERGY

T. Tao, H. Takaoka, 2002 .

Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation

T. Tao, J. Colliander, G. Staffilani, 2010 .

Stability in H1/2 of the sum of K solitons for the Benjamin–Ono equation

S. Gustafson, Tai-Peng Tsai, H. Takaoka, 2008, 0803.3783.

A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

Terence Tao, Hideo Takaoka, Gigliola Staffilani, 2001, SIAM J. Math. Anal..

Global well-posedness for Schrodinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces

Hideo Takaoka, H. Takaoka, 2001 .

Global Well-Posedness for Schrödinger Equations with Derivative

Terence Tao, Hideo Takaoka, Gigliola Staffilani, 2001, SIAM J. Math. Anal..

Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity

H. Takaoka, 1999, Advances in Differential Equations.

Sharp global well-posedness for KdV and modified KdV on ℝ and

Terence Tao, Hideo Takaoka, Gigliola Staffilani, 2003 .

Symplectic nonsqueezing of the korteweg-de vries flow

T. Tao, J. Colliander, G. Staffilani, 2005 .

Local well-posedness in low regularity of the MKDV equation with periodic boundary condition

K. Nakanishi, Y. Tsutsumi, H. Takaoka, 2010 .

ORBITAL INSTABILITY BOUNDS FOR THE NON-LINEAR SCHR¨ODINGER EQUATION BELOW THE ENERGY NORM

T. Tao, H. Takaoka, 2005 .

On the local regularity of the Kadomtsev-Petviashvili-II equation

H. Takaoka, N. Tzvetkov, H. Takaoka, 2001 .

Counterexamples to Bilinear Estimates Related with the KDV Equation and the Nonlinear Schrödinger Equation

Kenji Nakanishi, Hideo Takaoka, Yoshio Tsutsumi, 2001 .

Modulus of continuity and Martin boundary of a cylinder and a cone for p-harmonic functions

H. Takaoka, Y. Tonegawa, 錐領域のMartin境界 Tsubasa Itoh, 2018 .

Almost conservation laws and global rough solutions to a Nonlinear Schr

H. Takaoka, T. Tao, J. Colliander, 2002, math/0203218.

Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition

K. Nakanishi, Y. Tsutsumi, H. Takaoka, 2008 .

Weakly turbulent solutions for the cubic defocusing nonlinear Schr\"odinger equation

T. Tao, J. Colliander, G. Staffilani, 2008, 0808.1742.

Well-posedness for the Kadomtsev-Petviashvili II equation

Hideo Takaoka, H. Takaoka, 2000, Advances in Differential Equations.

On the growth of Sobolev norm for the cubic NLS on two dimensional product space

H. Takaoka, 2023, Journal of Differential Equations.

Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3

H. Takaoka, T. Tao, J. Colliander, 2003 .

Well-posedness for the Zakharov system with the periodic boundary condition

Hideo Takaoka, H. Takaoka, 1999, Differential and Integral Equations.

Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3

J. Colliander, G. Staffilani, M. Keel, 2004 .

Global Existence and Scattering for Rough Solutions of a Nonlinear Schr¨odinger Equation on R

T. Tao, H. Takaoka, T. TAO, 2003 .

Notes on symplectic non-squeezing of the KdV flow

T. Tao, J. Colliander, G. Staffilani, 2005 .