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Dini and Schauder
estimates for nonlocal fully nonlinear parabolic equations
with drifts
Hongjie Dong, Tianling Jin and Hong Zhang |
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Vol. 11 (2018), No. 6, 1487–1534
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Abstract |
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We obtain Dini- and Schauder-type estimates for concave fully nonlinear nonlocal parabolic equations of order 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. |
Keywords
nonlocal fully nonlinear parabolic equations, Dini- and
Schauder-type estimates, critical drift terms
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Mathematical Subject Classification 2010
Primary: 35B45, 35K55, 35R09
Secondary: 35B65, 60J75
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Milestones
Received: 30 September 2017
Revised: 14 January 2018
Accepted: 14 February 2018
Published: 3 May 2018
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Authors |
| Hongjie Dong | |
| Division of Applied
Mathematics Brown University Providence, RI United States |
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| Tianling Jin | |
| Department of Mathematics The Hong Kong University of Science and Technology Kowloon Hong Kong |
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| Hong Zhang | |
| Division of Applied
Mathematics Brown University Providence, RI United States |
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