Distribution of the resonances and local energy decay in the transmission problem

Asymptotic Analysis

Volumn 19, Issue 3-4, 1999, Pages 253-265

  Popov, Georgi ^a   Vodev, Georgi ^a  

^a Universite de Nantes   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DECAY; LOCAL ENERGY; RESONANCE ENERGIES; SPEED OF PROPAGATION; STRICTLY CONVEXES; TRANSMISSION PROBLEM;

EID: 0009240796     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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2. C. Gérard, Asymptotique des poles de la matrice de scattering pour deux obstacles strictement convex, Bull. Soc. Math. France 116 (1988), Mémoire no. 31.
3. P.D. Lax and R.S. Phillips, Scattering Theory, Academic Press, New York, 1967.
4. G. Lebeau, Equation des ondes amorties, in: Algebraic and Geometric Methods in Mathematical Physics, A. Boutet de Montvel and V. Marchenko, eds, Kluwer, Dordrecht, 1996, pp. 73-109.
5. G. Popov and G. Vodev, Resonances near the real axis for transparent obstacles, submitted.
6. P. Stefanov and G. Vodev, Distribution of the resonances for the Neumann problem in linear elasticity outside a strictly convex body, Duke Math. J. 78 (1995), 677-714.
7. M. Taylor, Partial Differential Equations, Vol. II, Qualitative Studies of Linear Equations, Appl. Math. Sci., Vol. 117, Springer, New York, 1996.
8. B.R. Vainberg, Asymptotic Methods in Equations of Mathematical Physics, Gordon and Breach, New York, 1988.
9. G. Vodev, On the uniform decay of the local energy, Serdica Math. J., to appear.