Exponential convergence for a convexifying equation

We consider an evolution equation similar to that introduced by Vese in [12] and whose solution converges in large time to the convex envelope of the initial datum.. Starting from

An abstract construction of a robust family of exponential attractors was first proposed, and then applied in every space dimension to the backward Euler time semidiscretization of

Notice that the uniqueness of positive, bounded solutions to (1), along with the periodicity of the input λ( · ), implies, that the solution to (1), obtained by Proposition 2.3,

The following lemma allows us to compare the results at the global scale (in variables (t, x)) and at the local scale (in variables (s, y)) in order to carry the desired result from

– We prove some symmetry theorems for positive solutions of elliptic equations in some noncompact manifolds, which generalize and extend symmetry results known in the case of

Convergence and partial regularity for weak solutions of some nonlinear elliptic equation : the supercritical case.. Annales

In the case of the Scalar curvature equation and in di- mension 2 Shafrir used the isoperimetric inequality of Alexandrov to prove an inequality of type sup + inf with only L

We consider an evolution equation similar to that introduced by Vese in [10] and whose solution converges in large time to the convex envelope of the initial datum.. We give