Local energy decay of solutions to the wave equation for nontrapping metrics

Georgi Vodev[1]

  • [1] Université de Nantes, Département de Mathématiques, UMR 6629 du CNRS, 2, rue de la Houssinière, BP 92208, 44072 Nantes Cedex 03, France

Séminaire Équations aux dérivées partielles (2002-2003)

  • Volume: 2002-2003, page 1-6

How to cite

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Vodev, Georgi. "Local energy decay of solutions to the wave equation for nontrapping metrics." Séminaire Équations aux dérivées partielles 2002-2003 (2002-2003): 1-6. <http://eudml.org/doc/11056>.

@article{Vodev2002-2003,
affiliation = {Université de Nantes, Département de Mathématiques, UMR 6629 du CNRS, 2, rue de la Houssinière, BP 92208, 44072 Nantes Cedex 03, France},
author = {Vodev, Georgi},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {local energy decay; non-trapping metric},
language = {eng},
pages = {1-6},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Local energy decay of solutions to the wave equation for nontrapping metrics},
url = {http://eudml.org/doc/11056},
volume = {2002-2003},
year = {2002-2003},
}

TY - JOUR
AU - Vodev, Georgi
TI - Local energy decay of solutions to the wave equation for nontrapping metrics
JO - Séminaire Équations aux dérivées partielles
PY - 2002-2003
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2002-2003
SP - 1
EP - 6
LA - eng
KW - local energy decay; non-trapping metric
UR - http://eudml.org/doc/11056
ER -

References

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  1. F. Cardoso and G. Vodev, Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds. II, Ann. H. Poincaré 3 (2002), 673-691. Zbl1021.58016MR1933365
  2. F. Cardoso and G. Vodev, High frequency resolvent estimates and energy decay of solutions to the wave equation, Canadian Bull. Math., to appear. Zbl1087.58018MR2111812
  3. R. B. Melrose and J. Sjöstrand, Singularities of boundary value problems. I, Commun. Pure Appl. Math. 31 (1978), 593-617. Zbl0368.35020MR492794
  4. R. B. Melrose and J. Sjöstrand, Singularities of boundary value problems. II, Commun. Pure Appl. Math. 35 (1982), 129-168. Zbl0546.35083MR644020
  5. B. Vainberg, On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as t → ∞ of solutions of nonstationary problems, Russian Math. Surveys 30 (1975), 1-53. Zbl0318.35006MR415085
  6. B. Vainberg, Asymptotic Methods in Equations of Mathematical Physics, Gordon and Breach, New York, 1988. Zbl0743.35001MR1054376
  7. A. Vasy and M. Zworski, Semiclassical estimates in asymptotically Euclidean scattering, Commun. Math. Phys. 212 (2000), 205-217. Zbl0955.58023MR1764368
  8. G. Vodev, Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds with cusps, Commun. Partial Diff. Equations 27 (2002), 1437-1465. Zbl1015.58005MR1924473

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