Équations d'évolution paraboliques fortement non linéaires
Équations différentielles ordinaires et équations de transport avec des coefficients irréguliers
Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
We consider the lowest-order Raviart–Thomas mixed finite element method for second-order elliptic problems on simplicial meshes in two and three space dimensions. This method produces saddle-point problems for scalar and flux unknowns. We show how to easily and locally eliminate the flux unknowns, which implies the equivalence between this method and a particular multi-point finite volume scheme, without any approximate numerical integration. The matrix of the final linear system is sparse, positive...
Erratum: A Parabolic Quasilinear Problem for Linear Growth Functionals.
Error estimates for Euler forward scheme related to two-phase Stefan problems
Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data
Error estimates for finite volume scheme for Perona--Malik equation.
Error estimates of a fully discrete linear approximation scheme for Stefan problem.
Error estimates of a linear approximation scheme for nonlinear diffusion problems.
Estimates of a stabilization rate as of solutions of a nonlinear integro-differential equation.
Estimates of weak solutions to nondiagonal quasilinear parabolic systems
-estimates of weak solutions are established for a quasilinear non-diagonal parabolic system with a special structure whose leading terms are modelled by p-Laplacians. A generalization of the weak maximum principle to systems of equations is employed.
Estimations uniformes à l’explosion pour les équations de la chaleur non linéaires et applications
Étude de l'existence de solutions globales d'un système de réaction-diffusion parabolique fortement non linéaire
Evolution of convex entire graphs by curvature flows
We consider the evolution of an entire convex graph in euclidean space with speed given by a symmetric function of the principal curvatures. Under suitable assumptions on the speed and on the initial data, we prove that the solution exists for all times and it remains a graph. In addition, after appropriate rescaling, it converges to a homothetically expanding solution of the flow. In this way, we extend to a class of nonlinear speeds the well known results of Ecker and Huisken for the mean curvature...
Evolution of subsets of and parabolic problem for the Levi equation
Exact Schauder estimates of solutions of a boundary value problem for parabolic second order equations and their application to a nonlinear problem
We establish exact Schauder estimates of solutions of the transmission problem for linear parabolic second order equations with explicit dependence on the smoothness of the coefficients. Next we apply the estimates to the solvability of the nonlinear transmission problem.
Existence and attractors of solutions for nonlinear parabolic systems.
Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I.
Existence and decay of solutions of some nonlinear parabolic variational inequalities.
Existence and nonexistence of global solutions of degenerate and singular parabolic systems.