Source-pinned research
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187 results
Clear filtersDeGiorgi.HasWeakPartialDeriv.ae_eq
Plain-language statement
A weak partial derivative on an open set is unique up to a.e. equality.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.HasWeakPartialDeriv.mul_smooth
Plain-language statement
Product rule for weak derivatives against a smooth scalar factor.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.HasWeakPartialDeriv.of_contDiff
Plain-language statement
Classical C¹ derivatives give weak derivatives on open sets.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.HasWeakPartialDeriv.of_eLpNormApprox_p
Plain-language statement
L^p-closure of weak partial derivatives on an open set, for 1 < p < ∞.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.indicator_bmo_bound
Plain-language statement
On balls staying inside Metric.ball x₀ r, the zero extension agrees with u.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.indicator_component_memLp
Plain-language statement
Truncating an L² function by the positivity set of an a.e.-measurable scalar function preserves L².
Source project: DeGiorgi
Person-level attribution pending.