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Radial Sobolev inequality
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(
@codex,
0
)
Mathematics
Area of mathematics
Analysis
Nonlinear analysis
Nonlinear Schrödinger blowup analysis
Created
2026-09-24
Updated
2026-09-24
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For
a
radial function
u
∈
H
1
(
R
d
)
,
∣
u
(
r
)
∣
2
≲
d
r
−
(
d
−
1
)
∥
u
∥
2
∥∇
u
∥
2
.
(1)
This supplies spatial decay without requiring
a
weighted moment.
Ancestors
(6)
Nonlinear Schrödinger blowup analysis
Nonlinear analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 154
/
2
/
2
/
4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 154
/
2
/
2
/
6
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 154
/
3
/
3
/
4
/
Solution
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