Local solutions to Darboux problem with a discontinuous right-hand side
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.
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| Date: | 2008 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2008
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/119595 |
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| 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. |