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A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation

Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43981

Journal de Mathmatiques Pures et Appliques, 103, (3), 809-829, 2015.3
The purpose of this paper is to introduce a new characterization of the characteristic functions for the study on the measure valued solution to the homogeneous Boltzmann equation so that it precisely captures the moment constraint in physics. This significantly improves the previous result by Cannone and Karch (2010) [2] in the sense that the new characterization gives a complete description of infinite energy solutions for the Maxwellian cross section. In addition, the global in time smoothing effect of the infinite energy solution is justified as for the finite energy solution except for a single Dirac mass initial datum.
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@inproceedings{yoshinori2015a,
  title={A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation},
  author={Yoshinori Morimoto, Shuaikun Wang, and Tong Yang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211035256846545},
  booktitle={Journal de Mathmatiques Pures et Appliques},
  volume={103},
  number={3},
  pages={809-829},
  year={2015},
}
Yoshinori Morimoto, Shuaikun Wang, and Tong Yang. A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation. 2015. Vol. 103. In Journal de Mathmatiques Pures et Appliques. pp.809-829. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211035256846545.
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