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Weak Solution of Parabolic Complex Monge-Ampère Equation
We study the equation u̇ = log det(uαβ̄) – Au + f(z, t) in domains of ℂn. This equation has a close connection with the Kähler-Ricci flow. In this paper, we consider the case where the boundary condition is smooth and the initial condition is irregular.
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| Published in: | Indiana University mathematics journal 2017-01, Vol.66 (6), p.1949-1979 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Online Access: | Get full text |
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| Summary: | We study the equation u̇ = log det(uαβ̄) – Au + f(z, t) in domains of ℂn. This equation has a close connection with the Kähler-Ricci flow. In this paper, we consider the case where the boundary condition is smooth and the initial condition is irregular. |
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| ISSN: | 0022-2518 1943-5258 |
| DOI: | 10.1512/iumj.2017.66.6186 |