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On estimates for fully
nonlinear parabolic equations on Riemannian manifolds
Bo Guan, Shujun Shi and Zhenan Sui |
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Vol. 8 (2015), No. 5, 1145–1164
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Abstract |
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We present some new ideas to derive a priori second-order estimates for a wide class of fully nonlinear parabolic equations. Our methods, which produce new existence results for the initial-boundary value problems in , are powerful enough to work in general Riemannian manifolds. |
Keywords
fully nonlinear parabolic equations, a priori estimates,
subsolutions, concavity
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Mathematical Subject Classification 2010
Primary: 35K55
Secondary: 35B45, 58J35
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Milestones
Received: 21 October 2014
Revised: 13 February 2015
Accepted: 30 April 2015
Published: 28 July 2015
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Authors |
| Bo Guan | |
| Department of Mathematics Ohio State University 231 W 18th Street Columbus, OH 43210 United States |
School of Mathematical
Sciences Xiamen University Xiamen 361005 China |
| Shujun Shi | |
| School of Mathematical
Sciences Harbin Normal University Harbin 150025 China |
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| Zhenan Sui | |
| Department of Mathematics Ohio State University 231 W 18th Street Columbus, OH 43210 United States |
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