Error estimate for finite volume approximate solutions of some oblique derivative boundary value problems

operator as well as a geometric regularity condition, we show that an appropriate determinant condition, that is the analogue of the uniform Kreiss-Lopatinskii condition for

Our main result in the present paper is the proof of the uniform in time strong convergence in L p ( Ω ), p < +∞, of the approximate solution given by the finite volume

On the other hand, we refer to the work of Vila and Villedieu [VV03], who prove, again under a strict CFL condition, an h 1/2 -error estimate in the L 2 loc space-time norm for

L^ B be the Martin boundary associa- ted with the boundary value problem (1). Then the connected com- ponents of B are in one-to-one correspondence mth the points a of the set r. ^n

The qualitative behaviour of the solutions exhibits a strong analogy with the porous medium equation: propagation with compact support and finite speed, free boundary relation

– The paper addresses symmetry results for positive solutions of semilinear elliptic differential equations on a class of non-convex symmetrical domains.. An example in two

Key words: Nonlinear oblique derivative condition, heat equation, self-similar

A relevant definition of weak solution may be the following one: a function U(z, x) is an entropy solution of (1.4NH) if, besides satisfying the minimal smoothness