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Tianhao Dong

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Preprint Aug 2026

Uniqueness for the spatially homogeneous Boltzmann equation in critical Sobolev spaces

We study the spatially homogeneous Boltzmann equation without angular cutoff for very soft potentials satisfying the inverse power law relation $\gamma+4s=1$. Our main results establish the existence, uniqueness, stability and regularization estimates of solutions in the critical Sobolev space $ H^{-(\gamma + 2s + \fra...

Tianhao Dong, Shuchen Guo, Jie Ji · 0 citations

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