Affiliation:
1. Dipartimento di Matematica e Fisica “Ennio De Giorgi” , Università del Salento , C. P. 193, 73100 , Lecce , Italy
Abstract
Abstract
We prove Schauder estimates for elliptic and parabolic problems governed by the degenerate operator
ℒ
=
Δ
x
+
D
y
y
+
c
y
D
y
,
\mathcal{L}=\Delta_{x}+D_{yy}+\frac{c}{y}D_{y},
in the half-space
Ω
=
{
(
x
,
y
)
:
x
∈
ℝ
N
,
y
>
0
}
{\Omega=\{(x,y):x\in\mathbb{R}^{N},y>0\}}
, under Neumann boundary conditions at
y
=
0
{y=0}
.
Subject
Applied Mathematics,General Mathematics
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