A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs

Proving convergence of space-time discretizations of such equations of- ten includes the three following steps : constructing discrete solutions and getting uniform (in

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

Hence a starting point is the study of the spectral problem. In the context of degenerate parabolic equations, it is classical that the eigenfunctions of the problem are expressed

Here we give the behavior of the blow-up points on the boundary and a proof of a compactness result with Lipschitz condition.. Note that our problem is an extension of the

First, we give the behavior of the blow-up points on the boundary, for this general elliptic system, and in the second time we have a proof of compactness of the solutions to

Keywords: blow-up, boundary, elliptic equation, a priori estimate, Lipschitz condition, boundary singularity, annu- lus.. After se use an inversion to have the blow-up point on

Abstract — We present a detailed survey of discrete functional analysis tools (consis- tency results, Poincar´e and Sobolev embedding inequalities, discrete W 1,p compactness,

Having in mind the p-version of finite elements, we consider a fixed mesh M of a bounded Lipschitz polyhedron Ω ⊂ R d and a sequence of spaces of discrete differential forms of order