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We prove the existence of global renormalized solutions to the Boltzmannequation in bounded domain with incoming boundary condition, with non-cutoffcollision kernels. Thus we extend the results of \cite{villani2002noncutoff}for whole spaces or periodic domain to bounded domains endorsed with incomingboundary condition.

Global existence of renormalized solutions to Boltzmann equations with incoming boundary condition and non-cutoff kernel