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Published online by Cambridge University Press: 20 September 2012
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 to
We give existence and uniqueness results of weak and strong solutions in suitable weighted spaces, where the weight depends on x3.