Publications associées à On the Averaged Green’s Function of an Elliptic Equation with Random Coefficients

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Elliptic equations with general singular lower order term and measure data

Linda Maria De Cave

In this paper we study a nonlinear elliptic boundary value problem with a general singular lower order term, whose model is {-Delta u = H(u)mu, in Omega, u = 0 on partial derivative Omega, u > 0 on Omega, where Omega is an open bounded subset of R-N, mu is ...

Pergamon-Elsevier Science Ltd2015

Nondispersive Decay For The Cubic Wave Equation

Roland Donninger

We consider the hyperboloidal initial value problem for the cubic focusing wave equation (-partial derivative(2)(t) + Delta(x))nu(t, x) + nu(t, x)(3) = 0, x is an element of R-3 Without symmetry assumptions, we prove the existence of a codimension-4 Lipsch ...

Mathematical Science Publ2014

Discontinuous Galerkin method for fractional convection-diffusion equations

Jan Sickmann Hesthaven

We propose a discontinuous Galerkin method for convection-subdiffusion equations with a fractional operator of order alpha [1,2] defined through the fractional Laplacian. The fractional operator of order alpha is expressed as a composite of first order der ...

Society for Industrial and Applied Mathematics2014

Hessian Schatten-Norm Regularization for Linear Inverse Problems

Michaël Unser, John Paul Ward, Stamatios Lefkimmiatis

We introduce a novel family of invariant, convex, and non-quadratic functionals that we employ to derive regularized solutions of ill-posed linear inverse imaging problems. The proposed regularizers involve the Schatten norms of the Hessian matrix, which a ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Hessian-Based Norm Regularization for Image Restoration With Biomedical Applications

Michaël Unser, Aurélien Bourquard, Stamatios Lefkimmiatis

We present nonquadratic Hessian-based regularization methods that can be effectively used for image restoration problems in a variational framework. Motivated by the great success of the total-variation (TV) functional, we extend it to also include second- ...

IEEE2012

Generalized Flows Satisfying Spatial Boundary Conditions

Boris Buffoni

In a region D in R-2 or R-3, the classical Euler equation for the regular motion of an inviscid and incompressible fluid of constant density is given by partial derivative(t)v + (v . del(x))v = -del(xP), div(x)v = 0, where v(t, x) is the velocity of the pa ...

Birkhäuser-Verlag, Springer2012

A Signal Processing Approach to Generalized 1-D Total Variation

Dimitri Nestor Alice Van De Ville, Fikret Isik Karahanoglu, Ilker Bayram

Total variation (TV) is a powerful method that brings great benefit for edge-preserving regularization. Despite being widely employed in image processing, it has restricted applicability for 1-D signal processing since piecewise-constant signals form a rat ...

Institute of Electrical and Electronics Engineers2011

A Second-Order Extension Of Tv Regularization For Image Deblurring

Michaël Unser, Aurélien Bourquard, Stamatios Lefkimmiatis, Zafer Dogan

In this paper, we propose a novel second-order regularizer based on the maximum response of the second-order directional derivative, assuming that the image under consideration belongs to the class of piecewise-linear signals. Compared to total-variation r ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

On the Averaged Green’s Function of an Elliptic Equation with Random Coefficients

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Multilevel and Local Timestepping Discontinuous Galerkin Methods for Magma Dynamics

Elliptic equations with general singular lower order term and measure data

Nondispersive Decay For The Cubic Wave Equation

Discontinuous Galerkin method for fractional convection-diffusion equations

Hessian Schatten-Norm Regularization for Linear Inverse Problems

Theta lifts and local Maass forms

Hessian-Based Norm Regularization for Image Restoration With Biomedical Applications

Generalized Flows Satisfying Spatial Boundary Conditions

A Signal Processing Approach to Generalized 1-D Total Variation

A Second-Order Extension Of Tv Regularization For Image Deblurring

Multilevel and Local Timestepping Discontinuous Galerkin Methods for Magma Dynamics

Elliptic equations with general singular lower order term and measure data

Hessian Schatten-Norm Regularization for Linear Inverse Problems

Nondispersive Decay For The Cubic Wave Equation

Hessian-Based Norm Regularization for Image Restoration With Biomedical Applications

Generalized Flows Satisfying Spatial Boundary Conditions

A Signal Processing Approach to Generalized 1-D Total Variation

Theta lifts and local Maass forms

Discontinuous Galerkin method for fractional convection-diffusion equations

A Second-Order Extension Of Tv Regularization For Image Deblurring