On the Lax-Phillips scattering theory for transport equation

Hassan Emamirad

Journées équations aux dérivées partielles (1984)

  • page 1-8
  • ISSN: 0752-0360

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Emamirad, Hassan. "On the Lax-Phillips scattering theory for transport equation." Journées équations aux dérivées partielles (1984): 1-8. <http://eudml.org/doc/93113>.

@article{Emamirad1984,
author = {Emamirad, Hassan},
journal = {Journées équations aux dérivées partielles},
keywords = {transport equation; Lax-Phillips scattering theory; Boltzmann equation; Lax-Phillips representation theorem; collision dynamics; linearized Boltzmann operator; local decay property; spectral properties of the Boltzmann operator},
language = {eng},
pages = {1-8},
publisher = {Ecole polytechnique},
title = {On the Lax-Phillips scattering theory for transport equation},
url = {http://eudml.org/doc/93113},
year = {1984},
}

TY - JOUR
AU - Emamirad, Hassan
TI - On the Lax-Phillips scattering theory for transport equation
JO - Journées équations aux dérivées partielles
PY - 1984
PB - Ecole polytechnique
SP - 1
EP - 8
LA - eng
KW - transport equation; Lax-Phillips scattering theory; Boltzmann equation; Lax-Phillips representation theorem; collision dynamics; linearized Boltzmann operator; local decay property; spectral properties of the Boltzmann operator
UR - http://eudml.org/doc/93113
ER -

References

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  1. [1] P. LAX & R. PHILLIPS, Scattering theory for transport phenomena. Proc. Conf. on Functional Analysis, Univ. California at Irvine, California 1966. Zbl0214.12002
  2. [2] P. LAX & R. PHILLIPS, “Scattering Teory“ Acad. Press, New York. 1967. Zbl0186.16301
  3. [3] H. EMAMIRAD, Thèse d'Etat. Université Paris-Nord. 1983. 
  4. [4] K. JÖRGENS, An asymptotic expansion in the theory of neutron transport. Comm. Pure Appl. Math. 11 (1958) 219-242. Zbl0081.44105MR21 #2189
  5. [5] R. B. MELROSE, Singularities and energy decay in acoustical scattering. Duke Math. J. 49 (1979), 43-59. Zbl0415.35050MR80h:35104
  6. [6] V. PROTOPOPESCU, On the scattering matrix for the linear Boltzmann equation. Revue Roumanie Phys. 21 (1976), 991-994. MR56 #10671
  7. [7] J. HEJTMANEK, Dynamics and spectrum of the linear multiple scattering operator in the Banach lattice L1 (ℝn x ℝn). Transport Theory Statis. Phys. 8 (1979), 29-44. Zbl0411.47008MR81d:47009

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