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POINTWISE A POSTERIORI ERROR ESTIMATES FOR MONOTONE SEMI-LINEAR EQUATIONS
residual maximum norm
2015/12/11
We derive upper and lower a posteriori estimates for the maximum norm error in nite element solutions of monotone semi-linear equations.
The estimates hold for Lagrange elements of any xed order, n...
Dissipative behavior of some fully non-linear KdV-type equations
KdV-type equations Finite-difference methods Nonlinear dynamics
2015/10/8
The KdV equation can be considered as a special case of the general equationutCf .u/x−g.uxx/x D 0;> 0;wheref is
non-linear andg is linear, namelyf .u/ D u2=2 andg.v/ D v. As the parameter t...
Consider a point mass falling vertically on an infinitely heavy
horizontal plate which oscillates periodically with period 2π in the vertical direction
and interacts with the particle by the l...
Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE’s with a Small Parameter
Quasi linear parabolic equations parameters quasi linear initial boundary value
2015/9/28
In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time beh...
Metastability for Non-Linear Random Perturbations of Dynamical Systems
Quasi linear parabolic equation the small parameter the second order items
2015/9/28
In this paper we describe the long time behavior of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time behavior of the corresponding di@...
AN INVESTIGATION INTO IMAGE ORIENTATION USING LINEAR FEATURES
Exterior orientation parameters (EOP) Linear features Collinearity equations
2015/9/28
At present all commercially available digital photogrammetric software products are utilizing points to solve the
problem of image orientation. Photogrammetry based on linear features is still at th...
Averaging principle for quasi-linear parabolic PDE’s and related diffusion processes
Quasi linear disturbance two dimensional flow parabola and small parameter
2015/9/28
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDE’s with a small parameter at the second order derivatives are considered in th...
Analysis of a Non-linear Partial Difference Equation, and Its Application to Cardiac Dynamics
Partial difference equation Non-linear Cardiac dynamics Singular perturbation method Spatial bifurcations
2015/8/27
A model of a strip of cardiac tissue consisting of a one-dimensional chain of cardiac units is derived in the form of a non-linear partial difference equation. Perturbation analysis is performed on th...
Analysis of Belief Propagation for Non-Linear Problems: The Example of CDMA (or: How to Prove Tanaka’s Formula)
Binary signal and white gaussian noise spread sequence scheme of linear time
2015/8/21
We consider the CDMA (code-division multipleaccess) multi-user detection problem for binary signals and additive white gaussian noise. We propose a spreading sequences scheme based on random sparse si...
On a fully non-linear elliptic PDE in conformal geometry
Fully nonlinear PDE generalized Yamabe problem
2014/4/3
We give an expository survey on the subject of the Yamabe-type problem and applications. With a recent technique in hand, we also present a simplified proof of the result by Chang-Gursky-Yang on...
Asymptotics of the critical non-linear wave equation for a class of non star-shaped obstacles
Asymptotics the critical non-linear wave equation non star-shaped obstacles Analysis of PDEs
2012/6/14
Scattering for the energy critical non-linear wave equation for domains exterior to non trapping obstacles in 3+1 dimension is known for the star-shaped case. In this paper, we extend the scattering f...
Boundary behavior for a singular quasi-linear elliptic equation
Singular elliptic equations quasi-linear elliptic equations qualitative behavior
2012/4/17
In a smooth bounded domain we obtain existence, uniqueness, regularity and boundary behavior for a class of singular quasi-linear elliptic equations.
Factorization of linear and nonlinear differential operators: necessary and sufficient conditions
Linear differential equations nonlinear differential equations factorization
2011/9/20
Abstract: An algebraic approach for factorizing nonlinear partial differential equations (PDEs) and systems of PDEs is provided.
In the particular case of second order linear and nonlinear PDEs and ...
Global compactness for a class of quasi-linear elliptic problems
Quasi-linear equations global compactness of Palais-Smale sequences
2011/9/15
Abstract: We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.
Refined Scattering and Hermitian Spectral Theory for Linear Higher-Order Schrodinger Equations
Higher-order Schrodinger operators rescaled blow-up variables discrete real spectrum asymptotic behaviour nodal sets of solutions
2011/9/9
Abstract: A classification of large-time and finite-time blow-up asymptotics of solutions of the Cauchy problem for higher-order Schr\"odinger equations is performed.