The Cauchy problem for a nonlinear Wheeler-DeWitt equation

J.-P. Dias; M. Figueira

Annales de l'I.H.P. Analyse non linéaire (1993)

  • Volume: 10, Issue: 1, page 99-107
  • ISSN: 0294-1449

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Dias, J.-P., and Figueira, M.. "The Cauchy problem for a nonlinear Wheeler-DeWitt equation." Annales de l'I.H.P. Analyse non linéaire 10.1 (1993): 99-107. <http://eudml.org/doc/78298>.

@article{Dias1993,
author = {Dias, J.-P., Figueira, M.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {simplified Wheeler-De Witt equation; Cauchy problem; decay properties; blow-up},
language = {eng},
number = {1},
pages = {99-107},
publisher = {Gauthier-Villars},
title = {The Cauchy problem for a nonlinear Wheeler-DeWitt equation},
url = {http://eudml.org/doc/78298},
volume = {10},
year = {1993},
}

TY - JOUR
AU - Dias, J.-P.
AU - Figueira, M.
TI - The Cauchy problem for a nonlinear Wheeler-DeWitt equation
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1993
PB - Gauthier-Villars
VL - 10
IS - 1
SP - 99
EP - 107
LA - eng
KW - simplified Wheeler-De Witt equation; Cauchy problem; decay properties; blow-up
UR - http://eudml.org/doc/78298
ER -

References

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  1. [1] J.P. Dias and M. Figueira, The Simplified Wheeler-DeWitt Equation: the Cauchy Problem and Some Spectral Properties, Ann. Inst. H. Poincaré, Physique Théorique, Vol. 54, 1991, pp. 17-26. Zbl0741.35034MR1102969
  2. [2] G.W. Gibbons and L.P. Grishchuk, What is a Typical Wave Function for the Universe?, Nucl. Phy. B, Vol. 313, 1989, pp. 736-748. 
  3. [3] J.B. Hartle and S.W. Hawking, Wave Function of the Universe, Phys. Rev. D, Vol. 28, 1983, pp. 2960-2975. MR726732
  4. [4] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, 1983. Zbl0516.47023MR710486
  5. [5] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. II: Fourier Analysis, Self-Adjointness, Academic Press, 1975. Zbl0308.47002
  6. [6] L. Susskind, Lectures at the Trieste School on String Theories and Quantum Gravity, April 1990. 

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