EuDML | Browse

An $L^{2}$ -estimate of the finite element error is proved for a Dirichlet and a Neumann boundary value problem on a three-dimensional, prismatic and non-convex domain that is discretized by an anisotropic tetrahedral mesh. To this end, an approximation error estimate for an interpolation operator that is preserving the Dirichlet boundary conditions is given. The challenge for the Neumann problem is the proof of a local interpolation error estimate for functions from a weighted Sobolev space.

$L^{2}$ -error estimates of the extrapolated Crank-Nicolson discontinuous Galerkin approximations for nonlinear Sobolev equations.

Ohm, Mi Ray, Lee, Hyun Young, Shin, Jun Yong (2010)

Journal of Inequalities and Applications [electronic only]

$L^{2}$ -estimates and existence theorems for generalized analytic functions in several variables.

Medzhidov, Z.G. (2004)

Sibirskij Matematicheskij Zhurnal

$L^{2}$ estimates for pseudodifferential operators

A. Boulkhemair (1995)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

$L^{2}$ -preserving Schrödinger heat flow under the Ricci flow.

Wang, Linfeng (2010)

Balkan Journal of Geometry and its Applications (BJGA)

$L^{2}$ -stability of multi-solitons

Claudio Muñoz (2011/2012)

Séminaire Laurent Schwartz — EDP et applications

The aim of this note is to give a short review of our recent work (see [5]) with Miguel A. Alejo and Luis Vega, concerning the $L^{2}$ -stability, and asymptotic stability, of the $N$ -soliton of the Korteweg-de Vries (KdV) equation.

$L^{2}$ -stability of the solutions to a nonlinear binary reaction-diffusion system of P.D.E.s

Salvatore Rionero (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The $L^{2}$ -stability (instability) of a binary nonlinear reaction diffusion system of P.D.E.s - either under Dirichlet or Neumann boundary data - is considered. Conditions allowing the reduction to a stability (instability) problem for a linear binary system of O.D.E.s are furnished. A peculiar Liapunov functional $V$ linked (together with the time derivative along the solutions) by direct simple relations to the eigenvalues, is used.

$L^{2}$ -stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes

Serge Piperno (2000)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

$L^{2}$ -type contraction for systems of conservation laws

Denis Serre, Alexis F. Vasseur (2014)

Journal de l’École polytechnique — Mathématiques

The semi-group associated with the Cauchy problem for a scalar conservation law is known to be a contraction in $L^{1}$ . However it is not a contraction in $L^{p}$ for any $p > 1$ . Leger showed in [20] that for a convex flux, it is however a contraction in $L^{2}$ up to a suitable shift. We investigate in this paper whether such a contraction may happen for systems. The method is based on the relative entropy method. Our general analysis leads us to the new geometrical notion of Genuinely non-Temple systems. We treat in...

$L^{2}$ well-posed Cauchy problems and symmetrizability of first order systems

Guy Métivier (2014)

Journal de l’École polytechnique — Mathématiques

The Cauchy problem for first order system $L (t, x, \partial_{t}, \partial_{x})$ is known to be well-posed in $L^{2}$ when it admits a microlocal symmetrizer $S (t, x, ξ)$ which is smooth in $ξ$ and Lipschitz continuous in $(t, x)$ . This paper contains three main results. First we show that a Lipschitz smoothness globally in $(t, x, ξ)$ is sufficient. Second, we show that the existence of symmetrizers with a given smoothness is equivalent to the existence of full symmetrizers having the same smoothness. This notion was first introduced in [FL67]. This is the key point...

Currently displaying 1 – 20 of 552

Page 1 Next

Displaying 1 – 20 of 552

$L^{1}$ existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions

$L^{1}$ singular limit for relaxation and viscosity approximations of extended traffic flow models.

$L^{1}$ stability of conservation laws for a traffic flow model.

$L^{2}$ -boundedness and $L^{2}$ -compactness of a class of Fourier integral operators.

$L^{2}$ -error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes

$L^{2}$ -error estimates of the extrapolated Crank-Nicolson discontinuous Galerkin approximations for nonlinear Sobolev equations.

$L^{2}$ -estimates and existence theorems for generalized analytic functions in several variables.

$L^{2}$ estimates for pseudodifferential operators

$L^{2}$ -preserving Schrödinger heat flow under the Ricci flow.

$L^{2}$ -stability of multi-solitons

$L^{2}$ -stability of the solutions to a nonlinear binary reaction-diffusion system of P.D.E.s

$L^{2}$ -stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes

$L^{2}$ -type contraction for systems of conservation laws

$L^{2}$ well-posed Cauchy problems and symmetrizability of first order systems

$L_{2} (Σ)$ -regularity of the boundary to boundary operator $B^{*} L$ for hyperbolic and Petrowski PDEs.

$L_{2}$ -оценки решений общих краевых задач для уравнения со смешанной парабoло-эллиптической структурой

$L_{\infty}$ -convergence of finite element Galerkin approximations for parabolic problems

$L_{\infty}$ -convergence of saddle-point approximations for second order problems

$L^{\infty}$ -error analysis for a system of quasivariational inequalities with noncoercive operators.

$L^{\infty}$ -error estimate for a noncoercive system of elliptic quasi-variational inequalities: a simple proof.

Currently displaying 1 – 20 of 552