Global viscosity solutions of generalized Kähler-Ricci flow
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- by Jeffrey Streets PDF
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Abstract:
We apply ideas from viscosity theory to establish the existence of a unique global weak solution to the generalized Kähler-Ricci flow in the setting of commuting complex structures. Our results are restricted to the case of a smooth manifold with smooth background data. We discuss the possibility of extending these results to more singular settings, pointing out a key error in the existing literature on viscosity solutions to complex Monge-Ampère equations/Kähler-Ricci flow.References
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Additional Information
- Jeffrey Streets
- Affiliation: Department of Mathematics, Rowland Hall, University of California, Irvine, Irvine, California 92617
- Email: jstreets@uci.edu
- Received by editor(s): October 6, 2016
- Received by editor(s) in revised form: March 22, 2017
- Published electronically: August 30, 2017
- Additional Notes: The author gratefully acknowledges support from the NSF via DMS-1454854, and from an Alfred P. Sloan Fellowship.
- Communicated by: Lei Ni
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 747-757
- MSC (2010): Primary 53C44, 35D40
- DOI: https://doi.org/10.1090/proc/13772
- MathSciNet review: 3731708