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High-frequency control by a Sobolev derivative
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Area of mathematics
Analysis
Functional analysis
Sobolev space
Sobolev embedding theorem
Rellich-Kondrashov compactness theorem for H01
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Words: 12
For
u
∈
H
1
(
R
d
)
, Plancherel gives
∫
∣
ξ
∣
>
R
∣
u
(
ξ
)
∣
2
d
ξ
≤
R
−
2
∥
∇
u
∥
2
2
.
(38)
Ancestors
(8)
Rellich-Kondrashov compactness theorem for H01
Sobolev embedding theorem
Sobolev space
Functional analysis
Analysis
Area of mathematics
Mathematics
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