Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case

Piotr Mucha

Banach Center Publications (2000)

  • Volume: 52, Issue: 1, page 175-180
  • ISSN: 0137-6934

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Mucha, Piotr. "Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case." Banach Center Publications 52.1 (2000): 175-180. <http://eudml.org/doc/209055>.

@article{Mucha2000,
author = {Mucha, Piotr},
journal = {Banach Center Publications},
keywords = {global existence of solutions; Einstein-Boltzmann equation; evolution equations; spatially homogeneous case},
language = {eng},
number = {1},
pages = {175-180},
title = {Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case},
url = {http://eudml.org/doc/209055},
volume = {52},
year = {2000},
}

TY - JOUR
AU - Mucha, Piotr
TI - Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case
JO - Banach Center Publications
PY - 2000
VL - 52
IS - 1
SP - 175
EP - 180
LA - eng
KW - global existence of solutions; Einstein-Boltzmann equation; evolution equations; spatially homogeneous case
UR - http://eudml.org/doc/209055
ER -

References

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  1. [1] D. Bancel and Y. Choquet-Bruhat, Existence, uniqueness, and local stability for the Einstein-Maxwell-Boltzman system, Comm. Math. Phys. 33 (1973), 84-96. 
  2. [2] J. Bernstein, Kinetic theory in the expanding universe, Cambridge University Press, 1988. Zbl1093.82002
  3. [3] K. Bitcheler, On the Cauchy problem for relativistic Boltzmann equation, Comm. Math. Phys. 4 (1967), 352-364. 
  4. [4] G. Di Blasio, Differentiability of spatially homogeneous solution of the Boltzmann equation in the non Maxwellian case, Comm. Math. Phys. 38 (1974), 331-340. Zbl0298.35050
  5. [5] J. Ehlers, Survey of general relativity theory, in: W. Israel (ed.), Relativity, Astrophysics and Cosmology, Reidel, Dordrecht, 1973. 
  6. [6] P. B. Mucha, The Cauchy problem for the Einstein-Boltzmann system, J. Appl. Anal. 4 (1998), 129-141. Zbl0914.35082
  7. [7] P. B. Mucha, Global existence for the Einstein-Boltzmann equation in the flat Robertson-Walker spacetime, Comm. Math. Phys. 203 (1999), 107-118. Zbl0937.83003

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