메뉴 건너뛰기




Volumn 8, Issue 1-2, 2001, Pages 107-124

Resonance expansions and Rayleigh waves

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035532731     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.2001.v8.n2.a2     Document Type: Article
Times cited : (25)

References (20)
  • 1
    • 0001948723 scopus 로고    scopus 로고
    • Décroissance de lénergie locale de l'équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel
    • [B1] N. Burq, Décroissance de lénergie locale de l'équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel, Acta Math. 180 (1998), 1-29.
    • (1998) Acta Math. , vol.180 , pp. 1-29
    • Burq, N.1
  • 4
    • 0034349028 scopus 로고    scopus 로고
    • Resonance wave expansions: Two hyperbolic examples
    • [CZ] T. Christiansen and M. Zworski, Resonance Wave Expansions: Two Hyperbolic Examples, Comm. Math. Phys. 212 (2000), 323-336.
    • (2000) Comm. Math. Phys. , vol.212 , pp. 323-336
    • Christiansen, T.1    Zworski, M.2
  • 6
    • 0033517594 scopus 로고    scopus 로고
    • Georgi Resonances near the real axis for transparent obstacles
    • [PV] G. Popov, G. Vodev, Georgi Resonances near the real axis for transparent obstacles, Comm. Math. Phys. 207(1999), 411-438.
    • (1999) Comm. Math. Phys. , vol.207 , pp. 411-438
    • Popov, G.1    Vodev, G.2
  • 7
    • 0001047998 scopus 로고    scopus 로고
    • A trace formula and review of some estimates for resonances
    • Microlocal analysis and Spectral Theory (Lucca, 1996), Kluwer Acad. Publ., Dordrecht
    • [Sj] J. Sjöstrand, A trace formula and review of some estimates for resonances, Microlocal analysis and Spectral Theory (Lucca, 1996), 377-437, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 490, Kluwer Acad. Publ., Dordrecht, 1997.
    • (1997) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. , vol.490 , pp. 377-437
    • Sjöstrand, J.1
  • 8
    • 0039459040 scopus 로고    scopus 로고
    • Asymptotics of the number of Rayleigh resonances
    • [SjV] J. Sjöstrand and G. Vodev, Asymptotics of the number of Rayleigh resonances, Math. Ann. 309 (1997), 287-306.
    • (1997) Math. Ann. , vol.309 , pp. 287-306
    • Sjöstrand, J.1    Vodev, G.2
  • 9
    • 84968505435 scopus 로고
    • Complex scaling and the distribution of scattering poles
    • [SjZ] J. Sjöstrand and M. Zworski, Complex scaling and the distribution of scattering poles, J. Amer. Math. Soc. 4 (1991), 729-769.
    • (1991) J. Amer. Math. Soc. , vol.4 , pp. 729-769
    • Sjöstrand, J.1    Zworski, M.2
  • 10
    • 0002168385 scopus 로고    scopus 로고
    • Quasimodes and resonances: Sharp lower bounds
    • [S] P. Stefanov, Quasimodes and resonances: sharp lower bounds, Duke Math. J. 99 (1999), 75-92.
    • (1999) Duke Math. J. , vol.99 , pp. 75-92
    • Stefanov, P.1
  • 11
    • 0000253768 scopus 로고    scopus 로고
    • Lower bound of the number of the Rayleigh resonances for arbitrary body
    • [S2] -, Lower bound of the number of the Rayleigh resonances for arbitrary body, Indiana Univ. Math. J. 49 (2000), 405-426.
    • (2000) Indiana Univ. Math. J. , vol.49 , pp. 405-426
  • 12
    • 84974003828 scopus 로고
    • Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body
    • [SV1] P. Stefanov and G. Vodev, Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body, Duke Math. J. 78 (1995), 677-714.
    • (1995) Duke Math. J. , vol.78 , pp. 677-714
    • Stefanov, P.1    Vodev, G.2
  • 13
    • 0038877884 scopus 로고    scopus 로고
    • Neumann resonances in linear elasticity for an arbitrary body
    • [SV2] -, Neumann resonances in linear elasticity for an arbitrary body, Comm. Math. Phys. 176 (1996), 645-659.
    • (1996) Comm. Math. Phys. , vol.176 , pp. 645-659
  • 14
    • 0032219326 scopus 로고    scopus 로고
    • From quasimodes to resonances
    • [TZ1] S.-H. Tang and M. Zworski, From quasimodes to resonances, Math. Res. Lett. 5 (1998), 261-272.
    • (1998) Math. Res. Lett. , vol.5 , pp. 261-272
    • Tang, S.-H.1    Zworski, M.2
  • 15
    • 0034375059 scopus 로고    scopus 로고
    • Resonance expansions of scattered waves
    • [TZ2] -, Resonance expansions of scattered waves, Comm. Pure Appl. Math. 53 (2000), 1305-1334.
    • (2000) Comm. Pure Appl. Math. , vol.53 , pp. 1305-1334
  • 16
    • 0002751492 scopus 로고
    • Rayleigh waves in linear elasticity as a propagation of singularities phenomenon
    • (Proc. Conf., Park City, Utah, 1977), Dekker, New York
    • [T] M. Taylor, Rayleigh waves in linear elasticity as a propagation of singularities phenomenon, Partial differential equations and geometry (Proc. Conf., Park City, Utah, 1977), Dekker, New York, 1979, pp. 273-291.
    • (1979) Partial Differential Equations and Geometry , pp. 273-291
    • Taylor, M.1
  • 17
    • 0002955793 scopus 로고    scopus 로고
    • Existence of Rayleigh resonances exponentially close to the real axis
    • [Vo] G. Vodev, Existence of Rayleigh resonances exponentially close to the real axis, Ann. Inst. H. Poincar Phys. Thor. 67 (1997), 41-57.
    • (1997) Ann. Inst. H. Poincar Phys. Thor. , vol.67 , pp. 41-57
    • Vodev, G.1
  • 19
    • 0007035582 scopus 로고    scopus 로고
    • Long time behavior of solutions to linear and nonlinear hyperbolic problems
    • Modern mathematical methods in diffraction theory and its applications in engineering (Freudenstadt, 1996), Lang, Frankfurt am Main
    • [Va2] -, Long time behavior of solutions to linear and nonlinear hyperbolic problems, Modern mathematical methods in diffraction theory and its applications in engineering (Freudenstadt, 1996), 234-250, Methoden Verfahren Math. Phys. 42, Lang, Frankfurt am Main, 1997.
    • (1997) Methoden Verfahren Math. Phys. , vol.42 , pp. 234-250
  • 20
    • 0007130426 scopus 로고
    • private communication
    • [Z] M. ZWORSKI, private communication, 1992.
    • (1992)
    • Zworski, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.