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Global well-posedness for Vlasov equations with power-law interactions in $d\ge4$
We study the Vlasov equation with general power-law (Riesz-type) potentials with exponent \(α\). We prove global well-posedness in every dimension \(d\ge4\), for both attractive and repulsive interactions, throughout the range \(0<α<3\), for arbitrary nonnegative compactly supported bounded initial
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