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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Determining the collision kernel in the Boltzmann equation near the equilibrium
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by Li Li and Zhimeng Ouyang
Proc. Amer. Math. Soc. 151 (2023), 4855-4865
DOI: https://doi.org/10.1090/proc/16522
Published electronically: August 18, 2023

Abstract:

We consider an inverse problem for the nonlinear Boltzmann equation near the equilibrium. Our goal is to determine the collision kernel in the Boltzmann equation from the knowledge of the Albedo operator. Our approach relies on a linearization technique as well as the injectivity of the Gauss-Weierstrass transform.
References
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Bibliographic Information
  • Li Li
  • Affiliation: Institute for Pure and Applied Mathematics, University of California, Los Angeles, California 90095
  • ORCID: 0000-0002-1933-6669
  • Email: lili@ipam.ucla.edu
  • Zhimeng Ouyang
  • Affiliation: Institute for Pure and Applied Mathematics, University of California, Los Angeles, California 90095
  • MR Author ID: 1375691
  • ORCID: 0000-0002-5753-0278
  • Email: zouyang@ipam.ucla.edu
  • Received by editor(s): September 5, 2022
  • Received by editor(s) in revised form: April 23, 2023
  • Published electronically: August 18, 2023
  • Additional Notes: The authors were partly supported by the Simons Foundation.
  • Communicated by: Benoit Pausader
  • © Copyright 2023 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 151 (2023), 4855-4865
  • MSC (2020): Primary 35R30; Secondary 35Q20
  • DOI: https://doi.org/10.1090/proc/16522
  • MathSciNet review: 4634888