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Original Articles

The point spectrum of the linearized Boltzmann operator with an external-force potential in an exterior domain

Pages 1271-1294 | Received 20 Sep 1993, Accepted 03 Apr 1995, Published online: 01 Sep 2006

References

  • Grad , H. 1963 . “ Asymptotic theory of the Boltzmann equation, II ” . In Rarefied Gas Dynamics , Edited by: Laurmann , J. A. 26 – 59 . N. Y. : Academic Press .
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  • Tabata , M. 1994 . Decay of solutions to the Cauchy problem for the linearized Boltzmann equation with an unbounded external-force potential . TTSP , 23 ( 6 ) : 741 – 780 .
  • Tabata , M. 1993 . Decay of solutions to the Cauchy problem for the linearized Boltzmann equation with some external-force potential . Jpn. J. Indust. Appl. Math. , 10 : 1 – 17 .
  • Tabata , M. 1993 . Decay of solutions to the mixed problem with the periodicity boundary condition for the linearized Boltzmann equation with conservative external force . Comm. Partial Differential Equations , 18 ( 11 ) : 1823 – 1846 .
  • Tabata , M. 1992 . The point spectrum of the linearized Boltzmann operator with the potential term . Kobe J. Math. , 9 : 183 – 194 .
  • Ukai , S. and Asano , K. 1980 . On the initial boundary value problem of the linearized Boltzmann equation in an exterior domain . Proc. Jpn. Acad. Ser. A , 56 : 12 – 17 .
  • Shizuta , Y. and Asano , K. 1977 . Global solutions of the Boltzmann equation in a bounded convex domain . Proc. Jpn. Acad. Ser. A , 53 : 3 – 5 .
  • Asano , K. 1987 . On the global solutions of the initial boundary value problem for the Boltzmann equation with an external force . TTSP , 16 : 735 – 761 .
  • Mizohata , S. 1973 . The Theory of Partial Differential Equations , Cambridge Univ. Press .

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