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Volumn 138, Issue 2, 1996, Pages 295-310

Asymptotics on the number of scattering poles for degenerate perturbations of the Laplacian

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EID: 0030585672     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0066     Document Type: Article
Times cited : (7)

References (17)
  • 1
    • 0000647760 scopus 로고
    • La relation de poisson pour l'équation des ondes dans un ouvert non borné. Application à la théorie de la diffusion
    • 1. C. BARDOS, J. C. GUILLOT, AND J. RALSTON, La relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application à la théorie de la diffusion, Comm. Partial Differential 7 (1982), 905-958.
    • (1982) Comm. Partial Differential , vol.7 , pp. 905-958
    • Bardos, C.1    Guillot, J.C.2    Ralston, J.3
  • 3
    • 0002995578 scopus 로고
    • Scattering theory and the trace of the wave group
    • 3. R. B. MELROSE, Scattering theory and the trace of the wave group, J. Funct. Anal. 45 (1982), 29-40.
    • (1982) J. Funct. Anal. , vol.45 , pp. 29-40
    • Melrose, R.B.1
  • 4
    • 0000179312 scopus 로고
    • Polynomial bounds on the number of scattering poles
    • 4. R. B. MELROSE, Polynomial bounds on the number of scattering poles, J. Funct. Anal. 53 (1983), 287-303.
    • (1983) J. Funct. Anal. , vol.53 , pp. 287-303
    • Melrose, R.B.1
  • 5
    • 33846685553 scopus 로고
    • Weyl asymptotic for the phase in obstacle scattering
    • 5. R. B. MELROSE, Weyl asymptotic for the phase in obstacle scattering, Comm. Partial Differential Equations 13 (1988), 1431-1439.
    • (1988) Comm. Partial Differential Equations , vol.13 , pp. 1431-1439
    • Melrose, R.B.1
  • 6
    • 0003043373 scopus 로고
    • On the eigenvalues of a class hypoelliptic operators
    • 6. A. MENIKOFF AND J. SJÖSTRAND, On the eigenvalues of a class hypoelliptic operators, Math. Ann. 235 (1978), 55-85.
    • (1978) Math. Ann. , vol.235 , pp. 55-85
    • Menikoff, A.1    Sjöstrand, J.2
  • 7
    • 0011683956 scopus 로고    scopus 로고
    • On the eigenvalues of a class hypoelliptic operators, II
    • 7. A. MENIKOFF AND J. SJÖSTRAND, On the eigenvalues of a class hypoelliptic operators, II, Lecture Notes in Math. 755, 201-247.
    • Lecture Notes in Math. , vol.755 , pp. 201-247
    • Menikoff, A.1    Sjöstrand, J.2
  • 8
    • 0027608873 scopus 로고
    • Upper bounds on the number of scattering poles and the Lax-Phillips conjecture
    • 8. V. PETKOV AND G. VODEV, Upper bounds on the number of scattering poles and the Lax-Phillips conjecture, Asympt. Anal. 7 (1993), 97-104.
    • (1993) Asympt. Anal. , vol.7 , pp. 97-104
    • Petkov, V.1    Vodev, G.2
  • 9
    • 0011610421 scopus 로고
    • On the eigenvalues of a class hypoelliptic operators, IV
    • 9. J. SJÖSTRAND, On the eigenvalues of a class hypoelliptic operators, IV, Ann. Inst. Fourier 30 (1980), 109-169.
    • (1980) Ann. Inst. Fourier , vol.30 , pp. 109-169
    • Sjöstrand, J.1
  • 10
    • 84968505435 scopus 로고
    • Complex scaling and the distribution of scattering poles
    • 10. 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
  • 12
    • 0001031066 scopus 로고
    • Lower bounds on the number of scattering poles, II
    • 12. J. SJÖSTRAND AND M. ZWORSKI, Lower bounds on the number of scattering poles, II, J. Funct. Anal. 123 (1994), 336-367.
    • (1994) J. Funct. Anal. , vol.123 , pp. 336-367
    • Sjöstrand, J.1    Zworski, M.2
  • 14
    • 0002252738 scopus 로고
    • Sharp bounds on the number of scattering poles for perturbations of the Laplacian
    • 14. G. VODEV, Sharp bounds on the number of scattering poles for perturbations of the Laplacian, Commun. Math. Phys. 146 (1992), 205-216.
    • (1992) Commun. Math. Phys. , vol.146 , pp. 205-216
    • Vodev, G.1
  • 15
    • 0001135046 scopus 로고
    • On the distribution of scattering poles for perturbations of the Laplacian
    • 15. G. VODEV, On the distribution of scattering poles for perturbations of the Laplacian, Ann. Inst. Fourier 40 (1992), 625-635.
    • (1992) Ann. Inst. Fourier , vol.40 , pp. 625-635
    • Vodev, G.1
  • 16
    • 38249034950 scopus 로고
    • Distribution of poles for scattering on the real axis
    • 16. M. ZWORSKI, Distribution of poles for scattering on the real axis, J. Funct. Anal. 73 (1987), 277-296.
    • (1987) J. Funct. Anal. , vol.73 , pp. 277-296
    • Zworski, M.1
  • 17
    • 0000548827 scopus 로고
    • Sharp polynomial bounds on the number of scattering poles of radial potentials
    • 17. M. ZWORSKI, Sharp polynomial bounds on the number of scattering poles of radial potentials, J. Funct. Anal. 82 (1989), 370-403.
    • (1989) J. Funct. Anal. , vol.82 , pp. 370-403
    • Zworski, M.1


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