Spatial behavior for NLS and applications to scattering
نویسندگان
چکیده
منابع مشابه
Bilinear Estimates and Applications to 2d Nls
The three bilinearities uv, uv, uv for functions u, v : R2×[0, T ] 7−→ C are sharply estimated in function spaces Xs,b associated to the Schrödinger operator i∂t+∆. These bilinear estimates imply local wellposedness results for Schrödinger equations with quadratic nonlinearity. Improved bounds on the growth of spatial Sobolev norms of finite energy global-in-time and blow-up solutions of the cu...
متن کاملOn Scattering for Nls: from Euclidean to Hyperbolic Space
We prove asymptotic completeness in the energy space for the nonlinear Schrödinger equation posed on hyperbolic space Hn in the radial case, for n > 4, and any energy-subcritical, defocusing, power nonlinearity. The proof is based on simple Morawetz estimates and weighted Strichartz estimates. We investigate the same question on spaces which kind of interpolate between Euclidean space and hyper...
متن کاملScattering for 1d Cubic Nls and Singular Vortex Dynamics
In this paper we study the stability of the self-similar solutions of the binormal flow, which is a model for the dynamics of vortex filaments in fluids and super-fluids. These particular solutions χa(t, x) form a family of evolving regular curves of R that develop a singularity in finite time, indexed by a parameter a > 0. We consider curves that are small regular perturbations of χa(t0, x) fo...
متن کاملa framework for identifying and prioritizing factors affecting customers’ online shopping behavior in iran
the purpose of this study is identifying effective factors which make customers shop online in iran and investigating the importance of discovered factors in online customers’ decision. in the identifying phase, to discover the factors affecting online shopping behavior of customers in iran, the derived reference model summarizing antecedents of online shopping proposed by change et al. was us...
15 صفحه اولScattering for NLS with a potential on the line
We show the H 1 scattering for a one dimensional nonlinear Schrödinger equation with a non-negative, repulsive potential V such that V, xV ∈ W 1,1, and a mass-supercritical non-linearity. We follow the approach of concentrationcompacity/rigidity first introduced by Kenig and Merle.
متن کاملذخیره 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: Séminaire Laurent Schwartz — EDP et applications
سال: 2017
ISSN: 2266-0607
DOI: 10.5802/slsedp.116