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

• Дата: 2006
• Автори: Burskii, V. P., Zhedanov, A. S., Бурский, В. П., Жеданов, А. С.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2006
• Онлайн доступ: 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...