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arxiv: 1804.11140 · v1 · pith:JYEMVVQVnew · submitted 2018-04-30 · 🧮 math.AP

Sharp regularity estimates for quasilinear evolution equations

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keywords equationsestimatesevolutiongeometricregularitysharpadjustedalpha
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We establish sharp geometric $C^{1+\alpha}$ regularity estimates for bounded weak solutions of evolution equations of $p$-Laplacian type. Our approach is based on geometric tangential methods, and makes use of a systematic oscillation mechanism combined with an adjusted intrinsic scaling argument.

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