Differential and Integral Equations

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

Nicolas Saintier

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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

Permanent link to this document
https://projecteuclid.org/euclid.die/1356039460

Mathematical Reviews number (MathSciNet)
MR2307140

Zentralblatt MATH identifier
1212.35257

Subjects
Primary: 35J70: Degenerate elliptic equations
Secondary: 35B25: Singular perturbations 35B45: A priori estimates 35K15: Initial value problems for second-order parabolic equations 35K65: Degenerate parabolic equations

Citation

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.


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