Darboux Problem with a Discontinuous Right-Hand Side

P. Pikuta
2006 Journal of Applied Analysis  
We prove an existence theorem for the Darboux Problem uxy (x, y) = g (u (x, y)), u (x, 0) = u (0, y) = 0, where g is bounded and measurable. 2000 Mathematics Subject Classification. 35R05, 34K99.
doi:10.1515/jaa.2006.145 fatcat:zqlwyslfyngi7onrsr2hl4g3kq