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LeanPool
.
AnomalousDiffusion
.
AVenhance
.
Infra
.
Section4
.
Amnr
.
TemperatureMaterialRate
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LeanPool.AnomalousDiffusion.AVenhance.Infra.Section4.Amnr.TemperatureMaterialStepL2
Imported by
AVenhance
.
Infra
.
Section4
.
amnr_material_gradient_rate_le
Abstract real normalization of the material gradient PDE estimate.
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theorem
AVenhance
.
Infra
.
Section4
.
amnr_material_gradient_rate_le
{
κ
S
H
G
K
Cb
Ccoeff
Cd
D
W
:
ℝ
}
(
hK
:
0
≤
K
)
(
hG
:
0
≤
G
)
(
hC
:
0
≤
Ccoeff
)
(
_hCd
:
0
≤
Cd
)
(
hD
:
0
≤
D
)
(
hW
:
0
≤
W
)
(
hH
:
0
≤
H
)
(
hRate
:
κ
*
S
^
2
≤
Cd
*
H
)
:
((
2
*
κ
*
K
*
G
+
2
*
K
*
(
D
*
(
Ccoeff
*
κ
)
*
G
))
*
S
^
2
+
D
*
Cb
*
H
*
G
)
*
W
≤
(
1
+
2
*
Cd
*
K
*
(
1
+
D
*
Ccoeff
)
+
D
*
Cb
)
*
G
*
(
W
*
H
)