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Project-declaredLean 4.29.0-rc6

De Giorgi energy estimate on concentric Balls of ball Pos Part

DeGiorgi.deGiorgi_energy_estimate_on_concentricBalls_of_ballPosPart

Plain-language statement

Localized De Giorgi energy estimate on concentric balls. This packages the weighted Caccioppoli inequality together with the localization step.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

De Giorgi preiter abstract

DeGiorgi.deGiorgi_preiter_abstract

Plain-language statement

Abstract real-variable combination step for De Giorgi pre-iteration.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

De Giorgi preiter of ball Sobolev on concentric Balls of ball Pos Part

DeGiorgi.deGiorgi_preiter_of_ballSobolev_on_concentricBalls_of_ballPosPart

Project documentation

PDE-facing De Giorgi pre-iteration wrapper on concentric balls. This theorem packages the bookkeeping step that combines: - a localized De Giorgi energy estimate at level θ, - a Sobolev/Hölder interpolation input for level λ, - and the Chebyshev bound already proved in this chapter. The local Sobolev/Hölder interpolation theorem is kept as an explicit...

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

De Giorgi preiter of energy

DeGiorgi.deGiorgi_preiter_of_energy

Plain-language statement

Packaged pre-iteration step after Sobolev, energy, and Chebyshev inputs.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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