Regularity of weak solutions of a complex monge-ampère equation

Gábor Székelyhidi; Valentino Tosatti

doi:10.2140/apde.2011.4.369

Regularity of weak solutions of a complex monge-ampère equation

Gábor Székelyhidi, Valentino Tosatti

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English (US)
Pages (from-to)	369-378
Number of pages	10
Journal	Analysis and PDE
Volume	4
Issue number	3
DOIs	https://doi.org/10.2140/apde.2011.4.369
State	Published - 2011

Keywords

Complex Monge-Ampère equations
Parabolic flows
Regularity of weak solutions

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

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10.2140/apde.2011.4.369

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title = "Regularity of weak solutions of a complex monge-amp{\`e}re equation",

abstract = "We prove the smoothness of weak solutions to an elliptic complex Monge-Amp{\`e}re equation, using the smoothing property of the corresponding parabolic flow.",

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Regularity of weak solutions of a complex monge-ampère equation

Abstract

Keywords

ASJC Scopus subject areas

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