On Dirichlet problem for string equation, Poncelet problem, Pell-Abel equation, and some other related problems

• Datum: 2006
• Hauptverfasser: Burskii, V. P., Zhedanov, A. S., Бурский, В. П., Жеданов, А. С.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3466
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In a plane domain bounded by a biquadratic curve, we consider the problem of the uniqueness of a solution of the Dirichlet problem for the string equation. We show that this problem is equivalent to the classical Poncelet problem in projective geometry for two appropriate ellipses and also to the pr...