Weak Harnack inequality for a mixed local and nonlocal parabolic equation
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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34
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Journal of Differential Equations, Volume 360, pp. 373-406
Abstract
This article proves a weak Harnack inequality with a tail term for sign changing supersolutions of a mixed local and nonlocal parabolic equation. Our argument is purely analytic. It is based on energy estimates and the Moser iteration technique. Instead of the parabolic John-Nirenberg lemma, we adopt a lemma of Bombieri-Giusti to the mixed local and nonlocal parabolic case. To this end, we prove an appropriate reverse Hölder inequality and a logarithmic estimate for weak supersolutions.Description
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Garain, P & Kinnunen, J 2023, 'Weak Harnack inequality for a mixed local and nonlocal parabolic equation', Journal of Differential Equations, vol. 360, pp. 373-406. https://doi.org/10.1016/j.jde.2023.02.049