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Hölder regularity for mixed local and nonlocal $p$-Laplace parabolic equations (2112.08698v2)
Published 16 Dec 2021 in math.AP
Abstract: We give a unified proof of H\"{o}lder regularity of weak solutions for mixed local and nonlocal $p$-Laplace type parabolic equations with the full range of exponents $1<p<\infty$. Our proof is based on the expansion of positivity together with the energy estimate and De Giorgi type lemma.
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