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Second-order PDEs in four dimensions with half-flat conformal structure

We study second-order partial differential equations (PDEs) in four dimensions for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or anti-self-dual) on every solution. We prove that this requirement implies the Monge–Ampère property. Since...

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Detalhes bibliográficos
Publicado no:Proc Math Phys Eng Sci
Main Authors: Berjawi, S., Ferapontov, E. V., Kruglikov, B., Novikov, V.
Formato: Artigo
Idioma:Inglês
Publicado em: The Royal Society Publishing 2020
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC7016558/
https://ncbi.nlm.nih.gov/pubmed/32082065
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2019.0642
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