Mixture estimate in fractional sense and its application to the well-posedness of the Boltzmann equation with very soft potential

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

Cites Work

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The Landau equation in a periodic box
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Pointwise Behavior of the Linearized Boltzmann Equation on a Torus
THE BOLTZMANN EQUATION IN THE SPACE $L^2\cap L^\infty_\beta$: GLOBAL AND TIME-PERIODIC SOLUTIONS

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