The periodic Boltzmann equation with constant collision kernel is locally well-posed in L^{2,r}_v H^s_x for s > d/2 − 1/4 and r > d/2.
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Local well-posedness for the periodic Boltzmann equation with constant collision kernel
The periodic Boltzmann equation with constant collision kernel is locally well-posed in L^{2,r}_v H^s_x for s > d/2 − 1/4 and r > d/2.