Hölder regularity for parabolic De Giorgi classes in metric measure spaces (Q361838)
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scientific article; zbMATH DE number 6199399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hölder regularity for parabolic De Giorgi classes in metric measure spaces |
scientific article; zbMATH DE number 6199399 |
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Hölder regularity for parabolic De Giorgi classes in metric measure spaces (English)
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19 August 2013
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The authors consider the parabolic De Giorgi classes in metric measure spaces. They assume the measure to be doubling, to support a weak \((1,p)\)-Poincaré inequality and to satisfy the annular decay property. Modifying a DiBenedetto argument they are able to prove that a function belonging to the parabolic De Giorgi classes is Hölder continuous.
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doubling measure
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weak \((1,p)\)-Poincaré inequality
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annular decay property
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