Geometry behind one of the Painlevé III differential equations

Snapshots of modern mathematics from Oberwolfach

Geometry behind one of the Painlevé III differential equations

The Painlevé equations are second order differential equations, which were first studied more than 100 years ago. Nowadays they arise in many areas in mathematics and mathematical physics. This snapshot discusses the solutions of one of the Painlevé equations and presents old results on the asymptotics at two singular points and new results on the global behavior. 

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Mathematical subjects

Analysis
Geometry and Topology

Connections to other fields

Physics

Author(s)

Claus Hertling

License

DOI (Digital Object Identifier)

10.14760/SNAP-2018-010-EN

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snapshots-2018-010.pdf

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