Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation

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dc.creatorBurskii, Vladimir P.
dc.creatorZhedanov, Alexei S.
dc.date2006-04-12
dc.date.accessioned2026-07-07T09:34:31Z
dc.date.available2026-07-07T09:34:31Z
dc.descriptionWe consider conditions for uniqueness of the solution of the Dirichlet or the Neumann problem for 2-dimensional wave equation inside of bi-quadratic algebraic curve. We show that the solution is non-trivial if and only if corresponding Poncelet problem for two conics associated with the curve has periodic trajectory and if and only if corresponding Pell-Abel equation has a solution.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math/0604278
dc.identifierhttp://arxiv.org/abs/math/0604278
dc.identifierSIGMA 2 (2006), 041, 5 pages
dc.identifierdoi:10.3842/SIGMA.2006.041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159519
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.titleDirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation
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