Takafumi Akahori

发表

Existence of a ground state and blow-up problem for a nonlinear Schrödinger equation with critical growth

S. Ibrahim, Hiroaki Kikuchi, Takafumi Akahori, 2011, Differential and Integral Equations.

Multilinear Eigenfunction Estimates for the Harmonic Oscillator and the Nonlinear Schrödinger Equation with the Harmonic Potential

Takafumi Akahori, Kenichi Ito, K. Ito, 2009 .

A sharp bilinear restriction estimate for the sphere and its application to the wave-Schrödinger system

Takafumi Akahori, 2007 .

Well-posedness for the Schrödinger-Improved Boussinesq System and Related Bilinear Estimates

Takafumi Akahori, 2007 .

Virial functional and dynamics for nonlinear Schrödinger equations of local interactions

Hiroaki Kikuchi, Takafumi Akahori, Takeshi Yamada, 2018, Nonlinear Differential Equations and Applications NoDEA.

Existence of a ground state and scattering for a nonlinear Schrödinger equation with critical growth

S. Ibrahim, Hiroaki Kikuchi, Takafumi Akahori, 2012, Selecta Mathematica.

Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies

S. Ibrahim, Hiroaki Kikuchi, Takafumi Akahori, 2019, Calculus of Variations and Partial Differential Equations.

Blowup and Scattering problems for the Nonlinear Schr

Takafumi Akahori, H. Nawa, 2010, 1006.1485.

Global solutions of the wave-Schr\"odinger system below $L^{2}$

Takafumi Akahori, 2006 .

Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter

S. Ibrahim, Hiroaki Kikuchi, Takafumi Akahori, 2018, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Global solutions of the wave-Schrödinger system with rough data

Takafumi Akahori, 2005 .

Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies

S. Ibrahim, Hiroaki Kikuchi, Takafumi Akahori, 2018, Calculus of Variations and Partial Differential Equations.

Virial functional and dynamics for nonlinear Schrödinger equations of local interactions

Takeshi Yamada, Hiroaki Kikuchi, Takafumi Akahori, 2018 .

Existence of a ground state and scattering for a nonlinear Schrödinger equation with critical growth

S. Ibrahim, Hiroaki Kikuchi, Takafumi Akahori, 2011, 1112.1121.

Non-existence of ground states and gap of variational problems for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent in three space dimensions

Slim Ibrahim, Takafumi Akahori, Hiroaki Kikuchi, 2021, 2112.05398.

Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies

S. Ibrahim, Hiroaki Kikuchi, Takafumi Akahori, 2015, Memoirs of the American Mathematical Society.