Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point

• Veröffentlicht in: Український математичний журнал
• Datum: 2014
• Hauptverfasser: Antoniouk, A.V., Kiselev, O.M., Tarkhanov, N.N.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2014
• Schlagworte: Статті
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/166114
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point / A.V. Antoniouk, O.M. Kiselev, N.N. Tarkhanov // Український математичний журнал. — 2014. — Т. 66, № 10. — С. 1299–1317. — Бібліогр.: 20 назв. — англ.

The Dirichlet problem for the heat equation in a bounded domain G⊂Rn+1 is characteristic because there are boundary points at which the boundary touches a characteristic hyperplane t=c, where c is a constant. For the first time, necessary and sufficient conditions on the boundary guaranteeing that t...