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

I-KUN CHENChuang, PHPHChuangCHUN-HSIUNG HSIASu, JKJKSu2022-12-142022-12-1420220022-4715https://scholars.lib.ntu.edu.tw/handle/123456789/626414In 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 four iterations, we establish regularity in fractional Sobolev space in space variable up to order 1 -.Boltzmann equation; Regularity; Averaging lemmas; Fractional Sobolev spaces; TRACE THEOREMS; BEHAVIORA Revisit of the Velocity Averaging Lemma: On the Regularity of Stationary Boltzmann Equation in a Bounded Convex Domainjournal article10.1007/s10955-022-02977-52-s2.0-85137017421WOS:000844186000001https://api.elsevier.com/content/abstract/scopus_id/85137017421