Local solutions to Darboux problem with a discontinuous right-hand side

• Published in: Condensed Matter Physics
• Date: 2008
• Main Author: Pikuta, P.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119595
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Local solutions to Darboux problem with a discontinuous right-hand side / P. Pikuta // Condensed Matter Physics. — 2008. — Т. 11, № 4(56). — С. 755-760. — Бібліогр.: 5 назв. — англ.

The existence of a local solution to the Darboux problem uxy (x, y) = g (u (x, y)), u (x, 0) = u (0, y) = 0, where g is Lebesgue measurable and has at most polynomial growth, is proved. Доведено iснування локального розв’язку проблеми Дарбу uxy (x, y) = g (u (x, y)), u (x, 0) = u (0, y) = 0, де g...