Symplectic non-squeezing for the cubic nonlinear Klein–Gordon equation on T3

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Scattering for the Non-radial 3d Cubic Nonlinear Schrödinger Equation

Scattering of radial H solutions to the 3D focusing cubic nonlinear Schrödinger equation below a mass-energy threshold M [u]E[u] < M [Q]E[Q] and satisfying an initial mass-gradient bound ‖u0‖L2‖∇u0‖L2 < ‖Q‖L2‖∇Q‖L2 , where Q is the ground state, was established in Holmer-Roudenko [8]. In this note, we extend the result in [8] to non-radial H data. For this, we prove a non-radial profile decompo...

متن کامل

Symplectic Non-squeezing of the Kdv Flow

We prove two finite dimensional approximation results and a symplectic non-squeezing property for the Korteweg-de Vries (KdV) flow on the circle T. The nonsqueezing result relies on the aforementioned approximations and the finite-dimensional nonsqueezing theorem of Gromov [13]. Unlike the work of Kuksin [21] which initiated the investigation of non-squeezing results for infinite dimensional Ha...

متن کامل

On the Instability for the Cubic Nonlinear Schrödinger Equation

We study the flow map associated to the cubic Schrödinger equation in space dimension at least three. We consider initial data of arbitrary size in Hs, where 0 < s < sc, sc the critical index, and perturbations in Hσ , where σ < sc is independent of s. We show an instability mechanism in some Sobolev spaces of order smaller than s. The analysis relies on two features of super-critical geometric...

متن کامل

On instability for the cubic nonlinear Schrodinger equation

We study the flow map associated to the cubic Schrödinger equation in space dimension at least three. We consider initial data of arbitrary size in Hs, where 0 < s < sc, sc the critical index, and perturbations in Hσ , where σ < sc is independent of s. We show an instability mechanism in some Sobolev spaces of order smaller than s. The analysis relies on two features of super-critical geometric...

متن کامل

Multi-symplectic Fourier Pseudospectral Method for the Nonlinear Schrödinger Equation

Abstract. Bridges and Reich suggested the idea of multi-symplectic spectral discretization on Fourier space [4]. Based on their theory, we investigate the multi-symplectic Fourier pseudospectral discretization of the nonlinear Schrödinger equation (NLS) on real space. We show that the multi-symplectic semi-discretization of the nonlinear Schrödinger equation with periodic boundary conditions ha...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2017

ISSN: 0022-1236

DOI: 10.1016/j.jfa.2016.12.025