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Article Contents

# Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation

• In this work, we prove that the singularities (in a fractional Sobolev space) of the classical solutions of the Vlasov-Poisson-Boltzmann equation are propagated along the characteristics of the Vlasov-Poisson equation, and decay exponentially.
Mathematics Subject Classification: 76P05, 35B65, 76X05, 82C40.

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