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DIFFERENTIAL HARNACK ESTIMATES FOR TIME-DEPENDENT HEAT EQUATIONS WITH POTENTIALS
EQUATIONS WITH POTENTIALS DIFFERENTIAL HARNACK
2015/8/17
In this paper, we prove a differential Harnack inequality for positive
solutions of time-dependent heat equations with potentials. We also prove a gradient
estimate for the positive solution o...
A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation
Schrodinger Equation Absorbing Boundary FDTD Method Stability
2013/1/30
The Finite-Difference Time-Domain (FDTD) method is a well-known technique for the analysis of quantum devices. It solves a discretized Schr?dinger equation in an iterative process. However, the method...
Construction of exact invariants of time-dependent linear nonholonomic dynamical systems
invariant Lie algebraic method linear nonholonomic Hamiltonian system
2012/8/8
In this work, we build exact dynamical invariants for time-dependent, linear, nonholo-
nomic Hamiltonian systems in two dimensions. Our aim is to obtain an additional insight into
the theoretical un...
A Backward Euler-DtN Alternating Method for Time-dependent Eddy Current Problems in Unbounded Domains
eddy current problems unbounded domains boundary integrations N秂d秂lec痭ite elements non-overlapping domain decomposition
2012/8/8
In this paper, we develop a coupling of natural boundary element method and 痭ite element
method for solving the time-dependent eddy current problems in unbounded domains based on a
H∶ formulation. T...
On the well-posedness of weakly hyperbolic equations with time dependent coefficients
Hyperbolic equations Gevrey spaces ultradistributions Analysis of PDEs
2011/9/5
Abstract: In this paper we analyse the Gevrey well-posedness of the Cauchy problem for weakly hyperbolic equations of general form with time-dependent coefficients. The results involve the order of lo...
Asymptotic entanglement in 1D quantum walks with a time-dependent coined
Asymptotic entanglement 1D quantum walks time-dependent coined
2011/3/3
In this paper we investigate the asymptotic behavior of coin position entanglement (CPE) of a discrete-time quantum walk in one dimensional lattice using a time-dependent unitary coin operator.
Asymmetric transport in the bouncer model: Mixed, time dependent, noncompact dynamics
Chaotic Dynamics (nlin.CD)
2010/11/10
We consider time-dependence of dynamical transport, following a recent study of the stadium billiard in which classical transmission and reflection probabilities were shown to exhibit exponential or a...
The Skorohod oblique reflection problem in time-dependent domains
The Skorohod oblique reflection problem time-dependent domains
2010/11/15
The deterministic Skorohod problem plays an important role in the construction and analysis of diffusion processes with reflection. In the form studied here, the multidimensional Skorohod problem was...
A time-dependent Poisson random field model for polymorphism within and between two related biological species
A time-dependent Poisson random field model polymorphism biological species
2010/11/12
We derive a Poisson random field model for population site polymorphisms differences within and between two species that share a relatively recent common ancestor. The model can be either equilibrium ...
Finite dimensional global and exponential attractors for a coupled time-dependent Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover
Finite dimensional global exponential attractors
2010/11/9
We study a coupled nonlinear evolution system arising from the Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover. First, we prove that the initial boundary value problem genera...
We study the obstacle problem for the Evolutionary p-Laplace Equation when the obstacle is discontinuous and without regularity in the time variable. Two quite different procedures yield the same solu...
Determination of time-dependent coefficients for a hyperbolic inverse problem
time-dependent coefficients hyperbolic inverse problem
2010/12/9
We consider an inverse boundary value problem for the hyperbolic partial differential equation
(−i@t+A0(t, x))2u(t, x)−Xn j=1−i@xj+Aj(t, x)2 u(t, x)+V (t, x)u(t, x) = 0 w...
Time-Dependent Attractor for the Oscillon Equation
Time-Dependent Attractor Oscillon Equation
2010/12/6
We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Oscillon equation @ttu(x, t) + H@tu(x, t) − e−2Ht@xxu(x, t) + V ′(u(x, t)) = 0, x ∈ (0, 1), t...
Predicting Sequences of Progressive Events Times with Time-dependent Covariates
Sequences Progressive Events Times Time-dependent Covariates
2010/12/15
This paper presents an approach to modeling progressive event-history data when the overall objective is prediction based on time-dependent covariates.This approach does not model the hazard function ...
Time-dependent Mechanics and Lagrangian submanifolds of Dirac manifolds
Time-dependent Mechanics presymplectic structures Poisson structures
2010/11/26
A description of time-dependent Mechanics in terms of Lagrangian submanifolds of presymplectic and Poisson manifolds is presented. Two new Tulczyjew triples are discussed. The first one is adapted to ...