2 problems

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Lebesgue comparability conjecture for the $Gamma_{Theta^{1/2}}$ capacity
Let $E\subset\mathbb{R}^{n+1}$ be compact. For the $Gamma_{Theta^{1/2}}$ capacity, impose … where $nabla=(\nabla_x,\partial_t)$ is the full gradient. Lebesgue comparability conject…
Conjectureopenanalytic-capacity caloric-capacity fractional-heat-equationarXiv posted 2 days ago
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Uniqueness under a weaker Fisher-information bound for the hydrodynamic equation
The paper studies a hydrodynamic equation associated with particle systems with long jumps and considers solutions controlled by their Fisher information. Uniqueness conjecture. Li…
Conjectureopenfractional-heat-equation hydrodynamic-limits particle-systemsarXiv posted 2 days ago

Lebesgue comparability conjecture for the GammaTheta1/2Gamma_{Theta^{1/2}}GammaTheta1/2​ capacity