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arXiv · 2504.09450

Removable Sets for Fractional Heat and Fractional Bessel-Heat Equations

Mouna Chegaar·Á. P. Horváth
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Abstract

We examine the fractional heat diffusion equations $L_{\gamma,a}:=(-\Delta_a)^{\frac{\gamma}{2}}+\partial_t$, where $\Delta_a$ is the Laplace- or the Bessel-Laplace operator. We give conditions for removability which are sufficient and which are necessary, by $L^p$-capacities. Introducing a spherical modulus of smoothness we can treat the Laplace and Bessel-Laplace cases together.

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Mouna Chegaar, Á. P. Horváth. 2025-04-13. Removable Sets for Fractional Heat and Fractional Bessel-Heat Equations. https://arxiv.org/abs/2504.09450

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