Analysis & PDE

  • Anal. PDE
  • Volume 11, Number 6 (2018), 1487-1534.

Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts

Hongjie Dong, Tianling Jin, and Hong Zhang

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Abstract

We obtain Dini- and Schauder-type estimates for concave fully nonlinear nonlocal parabolic equations of order σ ( 0 , 2 ) with rough and nonsymmetric kernels and drift terms. We also study such linear equations with only measurable coefficients in the time variable, and obtain Dini-type estimates in the spacial variable. This is a continuation of work by the authors Dong and Zhang.

Article information

Source
Anal. PDE, Volume 11, Number 6 (2018), 1487-1534.

Dates
Received: 30 September 2017
Revised: 14 January 2018
Accepted: 14 February 2018
First available in Project Euclid: 23 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.apde/1527040818

Digital Object Identifier
doi:10.2140/apde.2018.11.1487

Mathematical Reviews number (MathSciNet)
MR3803717

Zentralblatt MATH identifier
06881249

Subjects
Primary: 35B45: A priori estimates 35K55: Nonlinear parabolic equations 35R09: Integro-partial differential equations [See also 45Kxx]
Secondary: 35B65: Smoothness and regularity of solutions 60J75: Jump processes

Keywords
nonlocal fully nonlinear parabolic equations Dini- and Schauder-type estimates critical drift terms

Citation

Dong, Hongjie; Jin, Tianling; Zhang, Hong. Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts. Anal. PDE 11 (2018), no. 6, 1487--1534. doi:10.2140/apde.2018.11.1487. https://projecteuclid.org/euclid.apde/1527040818


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