In this paper, a generalized variable coefficient Gardner equation is investigated. Exp-function method combined with F-expansion method are used to determine six families of exact solutions of exp-function type for this equation. Under different parametric conditions, every family of solution can be reduced to some solitary wave solutions and periodic wave solutions. The results presented in t...

Infinite order differential equations have come to play an increasingly significant role in theoretical physics. Field theories with infinitely many derivatives are ubiquitous in string field theory and have attracted interest recently also from cosmologists. Crucial to any application is a firm understanding of the mathematical structure of infinite order partial differential equations. In our...

Nonparametric varying coefficient models are useful for studying the time-dependent effects of variables. Many procedures have been developed for estimation and variable selection in such models. However, existing work has focused on the case when the number of variables is fixed or smaller than the sample size. In this paper, we consider the problem of variable selection and estimation in vary...

In this paper, negatons, positons and complexiton solutions of higher order for a non-isospectral MKdV equation, the MKdV equation with loss and nonuniformity terms are obtained through the bilinear Bäcklund transformation. AMS Subject Classification: 35Q53

The pseudospectra of non-selfadjoint linear ordinary differential operators with variable coefficients are considered. It is shown that when a certain winding number or twist condition is satisfied, closely related to Hörmander’s commutator condition for partial differential equations, 3-pseudoeigenfunctions of such operators for exponentially small values of 3 exist in the form of localized wa...

The EVLA correlator will produce direct, unnormalized cross-power correlations, rather than the normalized correlation coefficients produced by the VLA correlator. This important change necessitates some changes in post-correlation correction of the correlator output in order to produce quantities which can easily be converted to the desired visibilities. This memo gives a simple analysis of th...

We consider behaviors in which we distinguish two types of variables, mani[est variables, the variables that are of interest to the user and latent variables, the variables that are introduced to obtain a first representation. The problem is to find a representation of th,: manifest behavior, that is, we want to eliminate the latent variables. If the original behavior can be represented by line...

The EVLA correlator will produce direct, unnormalized cross-power correlations, rather than the normalized correlation coefficients produced by the VLA correlator. This important change necessitates some changes in post-correlation correction of the correlator output in order to produce quantities which can easily be converted to the desired visibilities. This memo gives a simple analysis of th...

We prove a “local” Tb Theorem for square functions, in which we assume only Lq control of the pseudo-accretive system, with q > 1. We then give an application to variable coefficient layer potentials for divergence form elliptic operators with bounded measurable non-symmetric coefficients.