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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Bibliographische Detailangaben
Datum:2008
1. Verfasser: Pikuta, P.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут фізики конденсованих систем НАН України 2008
Schriftenreihe:Condensed Matter Physics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/119595
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine