## Differential and Integral Equations

### Schauder estimates for degenerate elliptic and parabolic equations in $\Bbb R^N$ with Lipschitz drift

Nicolas Saintier

#### Abstract

We prove existence, uniqueness and Schauder estimates for the degenerate elliptic and parabolic equations (E) and (NHCP) in $\mathbb R^N$ associated to the degenerate Kolmogorov operator (K) defined below.

#### Article information

Source
Differential Integral Equations, Volume 20, Number 4 (2007), 397-428.

Dates
First available in Project Euclid: 20 December 2012

Saintier, Nicolas. Schauder estimates for degenerate elliptic and parabolic equations in $\Bbb R^N$ with Lipschitz drift. Differential Integral Equations 20 (2007), no. 4, 397--428. https://projecteuclid.org/euclid.die/1356039460