L'équation de la chaleur en plusieurs variables complexes

N. K. Stanton

Séminaire Équations aux dérivées partielles (Polytechnique) (1982-1983)

  • page 1-13

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Stanton, N. K.. "L'équation de la chaleur en plusieurs variables complexes." Séminaire Équations aux dérivées partielles (Polytechnique) (1982-1983): 1-13. <http://eudml.org/doc/111837>.

@article{Stanton1982-1983,
author = {Stanton, N. K.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {complex heat equation; complex Laplacian; Siegel domain},
language = {fre},
pages = {1-13},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {L'équation de la chaleur en plusieurs variables complexes},
url = {http://eudml.org/doc/111837},
year = {1982-1983},
}

TY - JOUR
AU - Stanton, N. K.
TI - L'équation de la chaleur en plusieurs variables complexes
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1982-1983
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 13
LA - fre
KW - complex heat equation; complex Laplacian; Siegel domain
UR - http://eudml.org/doc/111837
ER -

References

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  1. [CM] S.S. Chern and J.K. Moser: Real hypersurfaces in complex manifolds, Acta Math.133 (1974), 219-271. Zbl0302.32015MR425155
  2. [FK] G.B. Folland and J.J. Kohn: The Neumann problem for the Cauchy-Riemann complex, Ann. of Math. Studies75, Princeton University Press, Princeton, New Jersey, 1972. Zbl0247.35093MR461588
  3. [FS] G.B. Folland and E.M. Stein: Estimates for the ∂b complex and analysis on the Heisenberg group, Comm. Pure Appl. Math.27 (1974), 429-522. Zbl0293.35012
  4. [Ga] B. Gaveau: Principe de moindre action, propagation de la chaleur et estimées sous-elliptiques sur certains groupes nilpotents, Acta. Math.139 (1977), 95-153. Zbl0366.22010MR461589
  5. [Gr] P.C. Greiner: An asymptotic expansion for the heat equation, Arch. Rational Mech. Anal.41 (1971), 163-218. Zbl0238.35038MR331441
  6. [GS] P.C. Greiner and E.M. Stein: Estimates for the ∂-Neumann problem, Mathematical Notes19, Princeton University Press, Princeton, New Jersey, 1977. Zbl0354.35002
  7. [MS] H.P. Mc Kean and I.M. Singer: Curvature and the eigenvalues of the Laplacian, J. Differential Geometry1 (1967), 43-69. Zbl0198.44301MR217739
  8. [M] G. Métivier: Spectral asymptotics for the ∂-Neumann problem, Duke Mathematical J.48 (1981), 779-806. Zbl0489.35064
  9. [LSU] O.A. Ladyženskaja, V.A. Solonnikov and N.N. Ural'ceva: Linear and quasilinear equations of parabolic type, Translations of Math. monographs, 23, Amer. Math. Soc., Providence, Rhode Island, 1968. Zbl0174.15403MR241822
  10. [RS] D.B. Ray and I.M. Singer: R-torsion and the Laplacian on Riemannian manifolds, Advances in Math.7 (1971), 145-210. Zbl0239.58014MR295381
  11. [S1] N.K. Stanton: The heat equation for the ∂-Neumann problem in a strictly pseudoconvex Siegel domain, J. d'Analyse Math.38 (1980), 67-112. Zbl0469.35071
  12. [S2] N.K. Stanton: The heat equation for the ∂-Neumann problem in a strictly pseudoconvex Siegel domain, II, J. d'Analyse Math.39 (1981) 189-202. Zbl0492.35002

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