A perturbative approach to Hölder continuity of solutions to a nonlocal \(p\)-parabolic equation (Q6570513)
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scientific article; zbMATH DE number 7879409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A perturbative approach to Hölder continuity of solutions to a nonlocal \(p\)-parabolic equation |
scientific article; zbMATH DE number 7879409 |
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A perturbative approach to Hölder continuity of solutions to a nonlocal \(p\)-parabolic equation (English)
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10 July 2024
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The author studies local boundedness and Hölder continuity of a parabolic equation involving the fractional \(p\)-Laplacian of order \(s\), with \(0 < s < 1\), \(2 \leq p <\infty\), with a general right-hand side.\N\NThe main result is to get sharp Hölder continuity estimates. The proof is based on a perturbative argument using the already known and almost classic Hölder continuity estimate for solutions to the equation with zero right-hand side.
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fractional \(p\)-Laplacian
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local Hölder regularity
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nonlocal diffusion
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