Nonlinear functionals of the Boltzmann equation and uniform stability estimates

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Abstract

We present nonlinear functionals measuring physical space variation and L1-distance between two classical solutions for the Boltzmann equation with a cut-off inverse power potential. In the case that initial datum is a small, smooth perturbation of vacuum and decays fast enough in the phase space, we show that these functionals satisfy stability estimates which lead to BV-type estimates and a uniform L1-stability. © 2004 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • BV stability
  • L1-stability
  • Lyapunov estimate
  • Nonlinear functionals

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Authors

  • Seung Yeal Ha

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