"Harmonic Analysis and Nonlinear Partial Differential Equations". July 3~5, 2017. edited by Hideo Takaoka and Hideo Kubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.The defocusing, nonlinear wave equation is globally well-posed and scattering for radial initial data lying close to the critical Sobolev space. We also prove scattering for data lying in a scale-invariant Besov space. This talk was an introduction to the papers [6], [7], and [8]
We prove that the initial value problem for the Dirac equation $(-i\gamma^\mu \partial_\mu + m) \psi...
"Harmonic Analysis and Nonlinear Partial Differential Equations". July 3~5, 2017. edited by Hideo Ta...
AbstractWe investigate scattering theory in the energy space for fourth-order nonlinear defocusing w...
In this paper, we consider the defocusing cubic nonlinear wave equation u -δu+|u| u=0 in the energy-...
In this paper we prove global well-posedness and scattering for the defocusing, intercritical nonlin...
In this paper, we consider the following three dimensional defocusing cubic nonlinear Schr\"odinger ...
In this work, we establish a frequency localized version of the classical Morawetz inequality adapte...
AbstractIn this paper, we consider the defocusing cubic nonlinear wave equation utt−Δu+|u|2u=0 in th...
AbstractWe consider the defocusing energy-critical nonlinear Schrödinger equation of fourth order iu...
We study the random data problem for 3D, defocusing, cubic nonlinear Schr\"odinger equation in $H_x^...
AbstractWe study the nonrelativistic limit of the nonlinear Klein–Gordon equation and prove that the...
In this paper, we prove that the initial value problem for the mass-critical defocusing nonlinear Sc...
Consider a finite energy radial solution to the focusing energy critical semilinear wave equation in...
International audienceWe consider the cubic nonlinear Schrödinger equation on the spatial domain $\m...
Abstract. We show that the nonlinear wave equation u + u3t = 0 is glob-ally well-posed in radially s...
We prove that the initial value problem for the Dirac equation $(-i\gamma^\mu \partial_\mu + m) \psi...
"Harmonic Analysis and Nonlinear Partial Differential Equations". July 3~5, 2017. edited by Hideo Ta...
AbstractWe investigate scattering theory in the energy space for fourth-order nonlinear defocusing w...
In this paper, we consider the defocusing cubic nonlinear wave equation u -δu+|u| u=0 in the energy-...
In this paper we prove global well-posedness and scattering for the defocusing, intercritical nonlin...
In this paper, we consider the following three dimensional defocusing cubic nonlinear Schr\"odinger ...
In this work, we establish a frequency localized version of the classical Morawetz inequality adapte...
AbstractIn this paper, we consider the defocusing cubic nonlinear wave equation utt−Δu+|u|2u=0 in th...
AbstractWe consider the defocusing energy-critical nonlinear Schrödinger equation of fourth order iu...
We study the random data problem for 3D, defocusing, cubic nonlinear Schr\"odinger equation in $H_x^...
AbstractWe study the nonrelativistic limit of the nonlinear Klein–Gordon equation and prove that the...
In this paper, we prove that the initial value problem for the mass-critical defocusing nonlinear Sc...
Consider a finite energy radial solution to the focusing energy critical semilinear wave equation in...
International audienceWe consider the cubic nonlinear Schrödinger equation on the spatial domain $\m...
Abstract. We show that the nonlinear wave equation u + u3t = 0 is glob-ally well-posed in radially s...
We prove that the initial value problem for the Dirac equation $(-i\gamma^\mu \partial_\mu + m) \psi...
"Harmonic Analysis and Nonlinear Partial Differential Equations". July 3~5, 2017. edited by Hideo Ta...
AbstractWe investigate scattering theory in the energy space for fourth-order nonlinear defocusing w...