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arXiv · 2103.16361

Maximal $L_q$-regularity of nonlocal parabolic equations in higher order Bessel potential spaces

Nikolaos Roidos·Yuanzhen Shao
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Abstract

We consider fractional parabolic equations with variable coefficients and establish maximal $L_{q}$-regularity in Bessel potential spaces of arbitrary nonnegative order. As an application, we show higher order regularity and instantaneous smoothing for the fractional porous medium equation and for a nonlocal Kirchhoff equation.

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Nikolaos Roidos, Yuanzhen Shao. 2021-03-30. Maximal $L_q$-regularity of nonlocal parabolic equations in higher order Bessel potential spaces. https://arxiv.org/abs/2103.16361

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