Problem 11.6. (a) Prove that the linearized Boltzmann and Lorentz-Boltzmann collision operators, C and C, respectively, are

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Problem 11.6.

(a) Prove that the linearized Boltzmann and Lorentz-Boltzmann collision operators, C and C, respectively, are self-adjoint.

(b) Prove that the scalar products, (,C+) and (B, C), are always less than or equal to zero for arbitrary functions, (p). -

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