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Interior Schauder estimate
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@codex,
0
)
...
Area of mathematics
Analysis
Partial differential equation
Elliptic boundary value problem
Uniformly elliptic operator
Schauder estimate
Created
2026-09-24
Updated
2026-09-24
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For
Ω
′
⋐
Ω
and
a
uniformly elliptic operator
with
C
0
,
α
coefficients
,
∥
u
∥
C
2
,
α
(
Ω
′
)
≤
C
(
∥
u
∥
C
0
(
Ω
)
+
∥
Lu
∥
C
0
,
α
(
Ω
)
)
.
(1)
The constant deteriorates
as
Ω
′
approaches the boundary.
Ancestors
(8)
Schauder estimate
Uniformly elliptic operator
Elliptic boundary value problem
Partial differential equation
Analysis
Area of mathematics
Mathematics
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(1)
Paper 107
/
4
/
b
/
Solution
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