Abstract:In this paper, we prove the existence of solutions to a nonlinear singular transport equation (ie, transport equation with unbounded collision frequency and unbounded collision operator) with vacuum boundary conditions in bounded spatial domain on L p -spaces with 1 ≤ p < +∞. This problem was already considered in 6,8,9 under the hypothesis that the collision frequency (·) and the collision operator are bounded. In this work, we show that these hypotheses are not necessary; it suffices to assume that (·) is lo… Show more
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