## Differential and Integral Equations

### Regularity result for nondivergence equations with unbounded coefficients

#### Abstract

The aim of this paper is to establish a higher integrability result for the second derivatives of solutions to nondivergence elliptic equations of the type $\sum_{i,j}^n a_{ij} \frac{\partial^2 u}{\partial x_i \partial x_j} =h$. The matrix coefficient $A(x)=[a_{ij}(x)]_{ij}$ is assumed to belong to the space $BMO$.

#### Article information

Source
Differential Integral Equations, Volume 23, Number 9/10 (2010), 989-1000.

Dates
First available in Project Euclid: 20 December 2012