Local energy decay of solutions to the wave equation for nontrapping metrics
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2002-2003), Talk no. 14, 6 p.
Vodev, Georgi 1

1 Université de Nantes, Département de Mathématiques, UMR 6629 du CNRS, 2, rue de la Houssinière, BP 92208, 44072 Nantes Cedex 03, France
@article{SEDP_2002-2003____A14_0,
     author = {Vodev, Georgi},
     title = {Local energy decay of solutions to the wave equation for nontrapping metrics},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:14},
     pages = {1--6},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2002-2003},
     zbl = {1078.58503},
     mrnumber = {2030709},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_2002-2003____A14_0/}
}
TY  - JOUR
AU  - Vodev, Georgi
TI  - Local energy decay of solutions to the wave equation for nontrapping metrics
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:14
PY  - 2002-2003
SP  - 1
EP  - 6
PB  - Centre de mathématiques Laurent Schwartz, École polytechnique
UR  - http://www.numdam.org/item/SEDP_2002-2003____A14_0/
LA  - en
ID  - SEDP_2002-2003____A14_0
ER  - 
%0 Journal Article
%A Vodev, Georgi
%T Local energy decay of solutions to the wave equation for nontrapping metrics
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:14
%D 2002-2003
%P 1-6
%I Centre de mathématiques Laurent Schwartz, École polytechnique
%U http://www.numdam.org/item/SEDP_2002-2003____A14_0/
%G en
%F SEDP_2002-2003____A14_0
Vodev, Georgi. Local energy decay of solutions to the wave equation for nontrapping metrics. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2002-2003), Talk no. 14, 6 p. http://www.numdam.org/item/SEDP_2002-2003____A14_0/

[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. | MR | Zbl

[2] F. Cardoso and G. Vodev, High frequency resolvent estimates and energy decay of solutions to the wave equation, Canadian Bull. Math., to appear. | MR | Zbl

[3] R. B. Melrose and J. Sjöstrand, Singularities of boundary value problems. I, Commun. Pure Appl. Math. 31 (1978), 593-617. | MR | Zbl

[4] R. B. Melrose and J. Sjöstrand, Singularities of boundary value problems. II, Commun. Pure Appl. Math. 35 (1982), 129-168. | MR | Zbl

[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. | MR | Zbl

[6] B. Vainberg, Asymptotic Methods in Equations of Mathematical Physics, Gordon and Breach, New York, 1988. | MR | Zbl

[7] A. Vasy and M. Zworski, Semiclassical estimates in asymptotically Euclidean scattering, Commun. Math. Phys. 212 (2000), 205-217. | MR | Zbl

[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. | MR | Zbl