Numerical scattering for the defocusing Davey–Stewartson II equation for initial data with compact support
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولGlobal well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data
In this paper we prove that the cubic wave equation is globally well posed and scattering for radial initial data satisfying ‖|x|2ǫu0‖Ḣ1/2+ǫ(R3)+‖u0‖Ḣ1/2+ǫ(R3)+‖|x| 2ǫu1‖Ḣ−1/2+ǫ(R3)+‖u1‖Ḣ−1/2+ǫ(R3) < ∞. (0.1) This space of functions is slightly smaller than the general critical space, Ḣ× Ḣ.
متن کاملOn the Whitham Equations for the Defocusing Nonlinear Schrodinger Equation with Step Initial Data
The behavior of solutions of the finite-genus Whitham equations for the weak dispersion limit of the defocusing nonlinear Schrödinger equation is investigated analytically and numerically for piecewiseconstant initial data. In particular, the dynamics of constant-amplitude initial conditions with one or more frequency jumps (i.e., piecewise linear phase) are considered. It is shown analytically...
متن کاملGlobal well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data
We consider the defocusing, ˙ H 1-critical Hartree equation for the radial data in all dimensions (n ≥ 5). We show the global well-posedness and scattering results in the energy space. The new ingredient in this paper is that we first take advantage of the term − I |x|≤A|I| 1/2 |u| 2 ∆ 1 |x| dxdt in the localized Morawetz identity to rule out the possibility of energy concentration, instead of ...
متن کاملInverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential
In the present work, under some di¤erentiability conditions on the potential functions , we rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructin...
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: Nonlinearity
سال: 2019
ISSN: 0951-7715,1361-6544
DOI: 10.1088/1361-6544/ab28c6