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A Revisit of the Velocity Averaging Lemma: on the Regularity of Stationary Boltzmann Equation in a Bounded Convex Domain

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arxiv 2011.00180 v1 pith:P3QBTS6P submitted 2020-10-31 math.AP

I-Kun Chen , Ping-Han Chuang , Chun-Hsiung Hsia , Jhe-Kuan Su This is my paper
classification math.AP
keywords regularityaveragingboltzmannboundedconvexdomainestablishlemma
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abstract

In the present work, we adopt the idea of velocity averaging lemma to establish regularity for stationary linearized Boltzmann equations in a bounded convex domain. Considering the incoming data, with three iterations, we establish regularity in fractional Sobolev space in space variable up to order $1^-$.

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    cond-mat.str-el 2025-08 unverdicted novelty 5.0 of 10

    DFT calculations predict a Rashba coefficient of 0.34 eV-Angstrom and 29 meV band splitting in the non-centrosymmetric P1 phase of a (SrHfO3)2/(LaAlO3)4(111) superlattice.

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