On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions

Kröger, Upper bounds for the Neumann eigenvalues on a bounded domain in Eulidean spae,

In the case of bounded domains, we improve her results in several directions : generality and regularity of the equation and boundary condition, possibility of obtaining results

This is the reason why we presented here some new results on the general theory of the existence, uniqueness and regularity of solutions of the strongly damped Schr¨odinger

With these key results in hand, we are finally able to study a Galerkin h-finite element method using Lagrange elements and to give wave number explicit error bounds in an

[12] Marius Mitrea and Sylvie Monniaux, On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of

In this paper we prove that bounded Hua-harmonic functions on tube domains that satisfy some boundary regularity condition are necessarily pluriharmonic.. In doing so, we show that

Stokes operator, Neumann boundary conditions, Lipschitz domains, domain of fractional power, regularity, Sobolev spaces, Navier-Stokes

Actually, in Section IV, it will be shown that in the presence of a moderate white noise added to the Sivashinsky equation, the solution is much more often close to the most