|
This paper considers Lipschitz region Schr (?) Dinger equation in the weighted H p sup> ((?) Ω, ω α dσ) space and the weighted L p sup> ((?) Ω, ω α dσ) estimates Neumann problem space , where 1 - ∈ n sup>, n ≥ 3 is an area bounded Lipschitz connected Leaves ω α (Q) = | QQ 0 | α sup>, where Q 0 < / sub> is the border ( ? ) on a fixed point on with non-negative singular Potential Schr (?) dinger equation -Δu Vu = 0, where V ∈ B n . we studied the boundary value at H p sup> ((?) Ω, ω α dσ) and L p sup> ((?) Ω, ω α dσ) of the Neumann problem . proved that when α in certain ranges , Neumann problem has a unique solution , and ( ? ) non- tangential maximal function (?) ∈ H p sup> ((?) Ω, ω α dσ) and (?) ∈ L p sup> ((?) Ω, ω α dσ) At the same time , we have established a consistent understanding of regularity estimates.
|