The ergodic limit for weak solutions of elliptic equations with Neumann boundary condition

The ergodic limit for weak solutions of elliptic equations with Neumann boundary condition

We consider the so-called {\it ergodic} problem for weak solutions of elliptic equations in divergence form, complemented with Neumann boundary conditions. The simplest example reads as the following boundary value problem in a bounded domain of $\R^N$: $$ \begin{cases} -\dive(A(x)\nabla u) + \l...

Full description

Bibliographic Details
Main Authors: François Murat, Alessio Porretta
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:Mathematics in Engineering
Subjects:
elliptic equations
ergodic problem
neumann condition
additive eigenvalue
weak solutions
Online Access:http://www.aimspress.com/article/doi/10.3934/mine.2021031?viewType=HTML

Internet

http://www.aimspress.com/article/doi/10.3934/mine.2021031?viewType=HTML

Similar Items