Local solutions to Darboux problem with a discontinuous right-hand side
The existence of a local solution to the Darboux problem u<sub>xy</sub>(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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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2008-12-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.11.4.755 |