Study of a singular equation set in the half-space
2012 ◽
Vol 142
(5)
◽
pp. 897-915
Keyword(s):
This work is dedicated to the resolution of a singular equation set in the half-space, with a diffusion coefficient that blows up on the boundary. More precisely, for a datum g: ℝ+3 → ℝ, our problem involves seeking u: ℝ+3 → ℝ as a formal solution toWe give existence and uniqueness results of weak and strong solutions in suitable weighted spaces, where the weight depends on x3.
2016 ◽
Vol 27
(5)
◽
pp. 756-780
2000 ◽
Vol 13
(3)
◽
pp. 207-238
◽
2019 ◽
Vol 14
(3)
◽
pp. 311
◽