A method of symmetrization ; Applications to heat and spectral estimates

Alessandro Savo

Séminaire de théorie spectrale et géométrie (1995-1996)

  • Volume: 14, page 9-24
  • ISSN: 1624-5458

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Savo, Alessandro. "A method of symmetrization ; Applications to heat and spectral estimates." Séminaire de théorie spectrale et géométrie 14 (1995-1996): 9-24. <http://eudml.org/doc/114398>.

@article{Savo1995-1996,
author = {Savo, Alessandro},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Riemann manifold; method of symmetrization; eigenvalue estimates; Laplacian; heat equation},
language = {eng},
pages = {9-24},
publisher = {Institut Fourier},
title = {A method of symmetrization ; Applications to heat and spectral estimates},
url = {http://eudml.org/doc/114398},
volume = {14},
year = {1995-1996},
}

TY - JOUR
AU - Savo, Alessandro
TI - A method of symmetrization ; Applications to heat and spectral estimates
JO - Séminaire de théorie spectrale et géométrie
PY - 1995-1996
PB - Institut Fourier
VL - 14
SP - 9
EP - 24
LA - eng
KW - Riemann manifold; method of symmetrization; eigenvalue estimates; Laplacian; heat equation
UR - http://eudml.org/doc/114398
ER -

References

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  2. [2] VAN DEN BERG, M., GILKEY, P.B.. - Heat content asymptotics for a Riemannian manifold with boundary, J. Funct. Anal. 120 (1994), 48-71. Zbl0809.53047MR1262245
  3. [3] VAN DEN BERG, M., LE GALL, P.B.. - Mean curvatureand the heat equation, Math.Z. 215 ( 1994), 437-464. Zbl0791.58089MR1262526
  4. [4] VAN DEN BERG, M., SRISATKUNARAJAH, S.. - Heat flow and brownian motion for a region in R2 with a polygonal boundary, Prob. Theory Rel. Fields 86 (1990), 41-52. Zbl0682.60067MR1061947
  5. [5] BISHOP, R., CRITTENDEN, R.. - Geometry of manifolds, Academie Press, New York, 1964. Zbl0132.16003MR169148
  6. [6] BURAGO, YU.D., ZALGALLER, V.A.. - Geometrie inequalities, A Series of Comprehensive Studies in Mathematics 285 Springer-Verlag, 1988. Zbl0633.53002MR936419
  7. [7] CHENG, S.Y.. - Eigenvalue comparison theorems and its geometrie applications, Math.Z. 143 ( 1975), 289-297. Zbl0329.53035MR378001
  8. [8] COURTOIS, G.. - Comportement du spectre d'une variété riemannienne compacte sous perturbation topologique par excision d'un domaine, Thèse de Doctorat, Institut Fourier, Grenoble, 1987. 
  9. [9] GALLOT, S.. - Inégalités isopérimétriques et analytiques sur les variétés riemanniennes, Astérisque 163-164 ( 1988), 31-91. Zbl0674.53001MR999971
  10. [10] GRADSHTEYN, I.S., RYZHIK, I.M.. - Table of integrais, series and products, Academic Press, 1980. Zbl0521.33001
  11. [11] HEINTZE, E., KARCHER, H.. - A general comparison theorem with applications to volume estimates for submanifolds, Ann. Sc. Ecole Norm. Sup. 11 ( 1978), 451-470. Zbl0416.53027MR533065
  12. [12] KASUE , A.. - On a lower bound for the first eigenvalue of the Laplace operator on a Riemannian manifold, Ann. Sc. Ecole Norm. Sup. 17 (1) ( 1984), 31-44. Zbl0553.53026MR744066
  13. [13] KOBAYASHI, S.. - On conjugate and cut-loci, Stud. Glob. Geom. and Analysis Math. Ass. America ( 1967), 96-122. Zbl0683.53043MR212737
  14. [14] Li, P., YAU, S-T.. - Estimates of eigenvalues of a compact Riemannian manifold, Proc. Symp. Pure Math. 36 ( 1980), 205-239. Zbl0441.58014MR573435
  15. [15] SAVO, A.. - A mean-value lemma and applications to heat diffusion, Prépublication de l'Institut Fourier n° 327, Grenoble, 1996. 
  16. [16] SAVO, A.. - Asymptotics of the heat content for a domain with smooth boundary, Prépublication de l'Institut Fourier n° 353, Grenoble, 1996. 
  17. [17] SAVO A.. - Une méthode de symétrisation et quelques applications, C. R. Acad. Sci. Paris Sér. IMath. 322 ( 1996), 861-864. Zbl0853.46037MR1390606

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