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非齐型空间上的反向Hölder不等式
Radon测度 非齐型空间 反向Hö lder不等式
2011/10/15
欧氏空间上经典调和分析以及齐型空间上的调和分析理论已经取得了许多重要的成果。我们注意到在欧氏空间和齐型空间中，一个关键的假设是测度满足二重性条件。当测度不满足二重性条件，而仅满足增长性条件时，就导致与齐型空间有本质区别的非齐型空间。本文通过给出这里适用的与非齐型空间相关的Besicovich覆盖引理和Calderón-Zygmund分解引理，结合文献中已有齐型空间中的方法，建立了非齐型空间上的反向...
Complete chaotic synchronization and exclusion of mutual Pyragas control in two delay-coupled Rössler-type oscillators
complete synchronization time-delayed feedback control delay chaos R¨ossler model electronic circuits
2011/7/6
Two identical chaotic oscillators that are mutually coupled via time delayed signals show very complex patterns of completely synchronized dynamics including stationary states and periodic as well as ...
erbolic Schrödinger map and non-elliptic derivative Schrödinger equation in two spatial dimensions
Hyperbolic Schr¨odinger map Derivative Schr¨odinger equation Gabor frame
2011/1/17
Using the Gabor frame, we get some time-global dispersive estimates for the Schr¨odinger semi-group in anisotropic Lebesgue spaces, which include a time-global maximal function estimate in the space L...
Bound State Solutions of the Schrödinger Equation for Generalized Morse Potential With Position Dependent Mass
Position dependent mass Schr¨odinger Equation Generalized Morse potential
2011/1/19
The effective mass one-dimensional Schr¨odinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions
are comput...
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic Discrete Non Linear Schrö dinger equation
2011/3/2
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12] we can construct high order numerical schemes, that re...
Hölder Continuity of Harmonic Quasiconformal Mappings
Quasiconformal maps harmonic mappings H¨older continuity
2011/1/21
We prove that for harmonic quasiconformal mappings -H¨older continuity on the boundary implies -H¨older continuity of the map itself. Our result holds for the class of uniformly perfect bounded doma...
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
2011/2/21
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
Harmonic maps nonlinear elliptic PDE’s regularity of solutions
2011/1/20
We consider nonlocal linear Schr¨odinger-type critical systems of the type 1/4v = v in IR. (1) where is antisymmetric potential in L2(IR, so(m)), v is a IRm valued map and
v denotes the matrix mu...
Normal Form for the Schrödinger equation with analytic non--linearities
Normal Form Schrö dinger equation analytic non--linearities
2011/1/17
We discuss a class of normal forms of the completely resonant non–linear Schr¨odinger equation on a torus. We stress the geometric and combinatorial constructions arising from this study. Further anal...
Localizing Estimates of the Support of Solutions of some Nonlinear Schrödinger Equations - The Stationary Case
nonlinear Schrodinger equation compact support energy method
2011/1/19
The main goal of this paper is to study the nature of the support of the solution of suitable
nonlinear Schrodinger equations mainly the compactness of the support and its spatial localization.
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic integrators Discrete Non Linear Schrö dinger equation
2010/12/28
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12]we can construct high order numerical schemes, that res...
Ergodicity of Markov Semigroups with Hörmander type generators in Infinite Dimensions
Ergodicity of Markov Semigroups Hö rmander type generators Infinite Dimensions
2011/1/17
We develop an effective strategy for proving strong ergodicity of (nonsymmetric)Markov semigroups associated to H¨ormander type generators when the underlying configuration space is infinite dimension...
Numerical Continuation of resonances and bound states in coupled channel Schrödinger equations
Resonances Numerical Continuation Coupled Channels Schr¨odinger equation
2011/1/17
In this contribution, we introduce numerical continuation methods and bifurcation theory, techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter de...
Symmetry preserving self-adjoint extensions of Schrödinger operators with singular potentials
Symmetry preserving self-adjoint extensions Schrö dinger operators singular potentials
2011/1/21
We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Prob-lems of this type naturally arise when considering two- and ...
A new conception for computing gröbner basis and its applications
Gr¨obner basis F5 GVW TRB Mpair
2011/3/4
This paper presents a conception for computing gr¨obner basis. We convert some of gr¨obner-computing algorithms, e.g., F5, extended F5 and GWV algorithms into a special type of algorithm.