A REVIEW OF DISPERSIVE LIMITS OF (NON)LINEAR SCHR¨ODINGER-TYPE EQUATIONS

نویسندگان
چکیده

برای دانلود رایگان 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

Wavelets and the Nonlinear Schr Odinger Equation

Wavelet applications to date have been dominated by signal and image processing. While perhaps not immediately obvious as a means of solving diierential equations, the growing body of literature in this area indicates that wavelets have a role to play here, too. Particularly attractive is their multilevel structure which leads to the possibility of data compression. In this paper we give some o...

متن کامل

The Erwin Schr odinger

Two disordered models are considered: spherical model and non-interacting electron gas on lattice. The supersymmetry representation for correlation functions of these models is obtained. Using this representation the conngura-tional averaging can be performed before thermodynamical one and the problem of calculation of conngurationally averaged correlation functions of disordered spherical mode...

متن کامل

Standing Waves with a Critical Frequency for Nonlinear Schr Odinger Equations

This paper is concerned with the existence and qualitative property of standing wave solutions (t; x) = e ?iEt=~ v(x) for the nonlinear Schrr odinger equation ~ @ @t + ~ 2 2 ? V (x) + jj p?1 = 0 with E being a critical frequency in the sense that min R N V (x) = E. We show that there exists a standing wave which is trapped in a neighborhood of isolated minimum points of V and whose amplitude go...

متن کامل

A duality between Schr odinger

The known correspondence between the Kronig{Penney model and certain Jacobi matrices is extended to a wide class of Schrr odinger operators on graphs. Examples include rectangular lattices with and without a magnetic eld, or comb{ shaped graphs leading to a Maryland{type model.

متن کامل

Long Time Stability of Some Small Amplitude Solutions in Nonlinear Schr Odinger Equations

We consider small perturbations of the Zakharov-Shabat nonlinear Schrr odinger equation on 0; ] with vanishing or periodic boundary conditions; we prove a Nekhoroshev type result for solutions starting in the neighbourhood (in the H 1 topology) of the majority of small amplitude nite dimensional invariant tori of the linearized system. More precisely we will prove that along the considered solu...

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: Taiwanese Journal of Mathematics

سال: 2000

ISSN: 1027-5487

DOI: 10.11650/twjm/1500407291