Project-declaredLean 4.30.0
Wkp U e Norm add le
WkpU.eNorm_add_le
Plain-language statement
Triangle inequality for eLpNorm.
partial differential equationsSobolev spacesanalysis
Source project: PDE
Person-level attribution pending.
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Project-declaredLean 4.30.0
Wkp U e Norm eq zero of ae zero
WkpU.eNorm_eq_zero_of_ae_zero
Plain-language statement
If f : WkpU d k p U hU is almost everywhere zero on U, then its Sobolev eNorm is zero.
partial differential equationsSobolev spacesanalysis
Source project: PDE
Person-level attribution pending.
Project-declaredLean 4.30.0
Wkp U e Norm ne top
WkpU.eNorm_ne_top
Plain-language statement
The W^{k,p}(U) norm is finite.
partial differential equationsSobolev spacesanalysis
Source project: PDE
Person-level attribution pending.
Project-declaredLean 4.30.0
Wkp U e Norm smul
WkpU.eNorm_smul
Plain-language statement
Absolute homogeneity for eNorm .
partial differential equationsSobolev spacesanalysis
Source project: PDE
Person-level attribution pending.
Project-declaredLean 4.30.0
Wkp U ibp tendsto
WkpU.ibp_tendsto
Plain-language statement
The IBP identity passes to the limit.
partial differential equationsSobolev spacesanalysis
Source project: PDE
Person-level attribution pending.
Project-declaredLean 4.30.0
Wkp U limit mem
WkpU.limit_mem
Plain-language statement
Given an Lp limit g and derivative limits g_ns, package them into a WkpU element.
partial differential equationsSobolev spacesanalysis
Source project: PDE
Person-level attribution pending.