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Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential

• In this paper, we consider the Cauchy problem for the non-cutoff Boltzmann equation in the soft potential case. By using a singular change of velocity variables before and after collision, we prove the uniqueness of weak solutions to the Cauchy problem in the space of functions with polynomial decay in the velocity variable.
Mathematics Subject Classification: 35A05, 35B65, 35D10, 35H20, 76P05, 82C40.

 Citation:

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