Global viscosity solutions of generalized Kähler-Ricci flow

Streets, Jeffrey

doi:10.1090/proc/13772

Global viscosity solutions of generalized Kähler-Ricci flow
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Proc. Amer. Math. Soc. 146 (2018), 747-757 Request permission

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.

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