Results 91 to 100 of about 17,955 (266)
Decay of eigenfunctions of elliptic PDE's [PDF]
arXiv, 2013 We study exponential decay of eigenfunctions of self-adjoint higher order elliptic operators on $\R^d$. We show that the possible critical decay rates are determined algebraically. In addition we show absence of super-exponentially decaying eigenfunctions and a refined exponential upper bound.
arxiv
Corrections of Electron–Phonon Coupling for Second‐Order Structural Phase Transitions
physica status solidi (b), EarlyView.The left image illustrates a weak electron–phonon coupling, while the right image depicts a strong electron–phonon coupling. The weak electron–phonon coupling interaction between the lattice and electrons is susceptible to destabilization by an increase in temperature.
Mario Graml, Kurt Hingerl
wiley +1 more source
Biorthogonality condition for axisymmetric stokes flow in spherical geometries
International Journal of Mathematics and Mathematical Sciences, 2000 We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the ...
S. A. Khuri
doaj +1 more source
Parameter control of optical soliton in one‐dimensional photonic crystal
Mathematical Modelling and Analysis, 2010 The paper deals with finding of soliton solution for Schrödinger equation with periodic linear and nonlinear properties of medium in 1D case. Such structure is named as photonic crystal.
Vyacheslav A. Trofimov +3 more
doaj +1 more source
Eigenvalues and Eigenfunctions of Double Layer Potentials [PDF]
arXiv, 2015 For bounded domains, eigenvalues and eigenfunctions of double layer potentials are considered. The aim of this paper is to establish some relationships between eigenvalues, eigenfunctions and the geometry of domain boundaries.
arxiv
Irradiated Coherent States in Magnetoresistance of 2D Electron Systems
physica status solidi (b), EarlyView.A theoretical approach on the microwave‐induced resistance oscillations based on the coherent states of the quantum harmonic oscillator is reported. The coherent state expression for the quantum oscillator under a time‐dependent force is calculated. It is found that the principle of minimum uncertainty of coherent states, involving time and energy, is ...
Jesús Iñarrea, Gloria Platero
wiley +1 more source
On Two-Fold Expansion Formulas For A Singular Sturm-Liouville Operator
Journal of Applied Computer Science & Mathematics, 2019 In this paper, a singular Sturm-Liouville problem dependent spectral parameter in boundary condition is considered. Special solutions and scattering datas are defined.
ALA Volkan, MAMEDOV Khanlar R.
doaj +1 more source
Nonparametric identification of positive eigenfunctions [PDF]
Econometric Theory, 2014 Important features of certain economic models may be revealed by studying positive eigenfunctions of appropriately chosen linear operators. Examples include long-run risk–return relationships in dynamic asset pricing models and components of marginal utility in external habit formation models.
openaire +5 more sources
On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications [PDF]
arXiv, 2018 This paper is concerned with the intrinsic geometric structures of conductive transmission eigenfunctions. The geometric properties of interior transmission eigenfunctions were first studied in [9]. It is shown in two scenarios that the interior transmission eigenfunction must be locally vanishing near a corner of the domain with an interior angle less
arxiv
Orthogonality of case's eigenfunctions in one-speed transport theory [PDF]
, 1964 Ivan Kuščer +2 more
openalex +2 more sources