A new commutator method for averaging lemmas

Author:

Jabin Pierre-Emmanuel,Lin Hsin-Yi,Tadmor Eitan

Publisher

Cellule MathDoc/CEDRAM

Subject

General Medicine

Reference38 articles.

1. [1] V.I. Agoshkov. Spaces of functions with differential-difference characteristics and the smoothness of solutions of the transport equation. Dokl. Akad. Nauk SSSR, 276(6):1289-1293, 1984.

2. [2] D. Arsénio, N. Lerner. An energy method for averaging lemmas. arXiv:2006.16058.

3. [3] D. Arsénio, L. Saint-Raymond. Compactness in kinetic transport equations and hypoellipticity. J. Funct. Anal., 261(10), (2011), 3044-3098.

4. [4] D. Arsénio, N. Masmoudi, A new approach to velocity averaging lemmas in Besov spaces, J. Math. Pures Appl.(9) 101 (2014), no. 4, 495-551.

5. [5] D. Arsénio, N. Masmoudi. Maximal gain of regularity in velocity averaging lemmas, Analysis and PDE, Vol. 12 (2019), No. 2, 333-388.

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