Geometry behind one of the Painlevé III differential equations

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Analysis

Geometrie und Topologie

Verbindung zu anderen Gebieten

Physik

Autor(en)

Claus Hertling

Lizenz

CC BY-SA-4.0

DOI (Digital Object Identifier)

10.14760/SNAP-2018-010-EN

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