The parabolic split-type Monge-Ampère on split tangent bundle surfaces

Joshua Jordan

doi:10.1007/s00526-026-03299-0

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The parabolic split-type Monge-Ampère on split tangent bundle surfaces

Journal article

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The parabolic split-type Monge-Ampère on split tangent bundle surfaces

Joshua Jordan

Calculus of variations and partial differential equations, Vol.65(4), p.133

03/14/2026

DOI: 10.1007/s00526-026-03299-0

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Abstract

We introduce a parabolic analogue of the elliptic split-type Monge-Amp & egrave;re equation developed by Fang and the author, extending Streets' twisted Monge-Amp & egrave;re equation. The resulting equation is fully nonlinear and non-concave. We prove long-time existence for equations whose exponents are not too far apart and give conditions for convergence to the twisted Monge-Amp & egrave;re when the exponents approach each other. Applications include long-time convergence on K & auml;hler backgrounds and reduction to the twisted Monge-Amp & egrave;re equation under curvature assumptions.

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Details

Title: Subtitle: The parabolic split-type Monge-Ampère on split tangent bundle surfaces
Creators: Joshua Jordan - University of Iowa, Mathematics
Resource Type: Journal article
Publication Details: Calculus of variations and partial differential equations, Vol.65(4), p.133
DOI: 10.1007/s00526-026-03299-0
ISSN: 0944-2669
eISSN: 1432-0835
Publisher: Springer Nature
Number of pages: 30
Grant note: DMS-2038103 / Directorate for Mathematical and Physical Sciences
Language: English
Date published: 03/14/2026
Academic Unit: Mathematics
Record Identifier: 9985160639802771

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