Lipschitz estimate for elliptic equations with oscillatory coefficients.

Autor: Yeh, Li-Ming
Předmět:
Zdroj: AIMS Mathematics; 2024, Vol. 9 Issue 10, p1-32, 32p
Abstrakt: Regularity for elliptic equations with oscillatory coefficients was concerned. Problem domains were periodic and consisted of a connected region with normal permeability and a disconnected matrix block subset with high permeability. Coefficients of the elliptic equations depending on the permeability of the domains were highly oscillatory. Let be the periodic size of domain, the size ratio of a matrix block to the whole domain, and the permeability ratio of the disconnected matrix block subset to the connected sub-region of the domains. This work presented Lipschitz estimate uniformly in for the Green's functions and the solutions of the elliptic equations. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index