Source-pinned research
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187 results
Clear filtersWkpU.cauchySeq_derivtoLp
Plain-language statement
A Cauchy sequence in W^{k,p}(U) induces a Cauchy sequence in Lp for each weak derivative component.
Source project: PDE
Person-level attribution pending.
WkpU.derivELpNorm_add_le
Plain-language statement
Triangle inequality for a single weak-derivative eLpNorm.
Source project: PDE
Person-level attribution pending.
WkpU.derivELpNorm_le_eNorm
Plain-language statement
Each weak-derivative eLpNorm is bounded by the Sobolev eNorm.
Source project: PDE
Person-level attribution pending.
WkpU.derivELpNorm_ne_top
Plain-language statement
The eLpNorm of the n-th weak derivative of f along the multi-index s.
Source project: PDE
Person-level attribution pending.
WkpU.derivELpNorm_smul
Plain-language statement
Absolute homogeneity for the Lᵖ norm of a single weak-derivative ‖c • Dˢf‖ = |c| * ‖Dˢf‖.
Source project: PDE
Person-level attribution pending.
WkpU.derivELpNorm_tendsto_zero
Plain-language statement
Each derivELpNorm component of fₙ - f_lim tends to zero.
Source project: PDE
Person-level attribution pending.