Regularity of weak solutions of a complex Monge–Ampère equation

Gábor Székelyhidi; Valentino Tosatti

doi:10.2140/apde.2011.4.369

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Home > Journals > Anal. PDE > Volume 4 > Issue 3 > Article

2011 Regularity of weak solutions of a complex Monge–Ampère equation

Gábor Székelyhidi, Valentino Tosatti

Anal. PDE 4(3): 369-378 (2011). DOI: 10.2140/apde.2011.4.369

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Abstract

We prove the smoothness of weak solutions to an elliptic complex Monge–Ampère equation, using the smoothing property of the corresponding parabolic flow.

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Gábor Székelyhidi. Valentino Tosatti. "Regularity of weak solutions of a complex Monge–Ampère equation." Anal. PDE 4 (3) 369 - 378, 2011. https://doi.org/10.2140/apde.2011.4.369

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Received: 11 December 2009; Accepted: 13 July 2010; Published: 2011

First available in Project Euclid: 20 December 2017

zbMATH: 1264.32019

MathSciNet: MR2872120

Digital Object Identifier: 10.2140/apde.2011.4.369

Subjects:

Primary: 32Q20 , 32W20 , 35J60

Secondary: 53C44

Keywords: complex Monge–Ampère equations , parabolic flows , regularity of weak solutions

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Gábor Székelyhidi, Valentino Tosatti "Regularity of weak solutions of a complex Monge–Ampère equation," Analysis & PDE, Anal. PDE 4(3), 369-378, (2011)

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