메뉴 건너뛰기




Volumn 128, Issue 1, 2000, Pages 177-192

Commutator estimates, Besov spaces and scattering problems for the acoustic wave propagation in perturbed stratified fluids

Author keywords

[No Author keywords available]

Indexed keywords


EID: 22844456376     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0305004199004120     Document Type: Article
Times cited : (6)

References (24)
  • 1
    • 51249188043 scopus 로고
    • Asymptotic properties of solutions of differential equations with simple characteristics
    • S. AGMON and L. HÖRMANDER. Asymptotic properties of solutions of differential equations with simple characteristics. J. Analyse Math. 30 (1976), 1-37.
    • (1976) J. Analyse Math. , vol.30 , pp. 1-37
    • Agmon, S.1    Hörmander, L.2
  • 3
    • 0003124909 scopus 로고
    • Spectral and scattering theory for wave propagation in perturbed stratified media
    • A. BOUTET DE MONVEL-BERTHIER and D. MANDA. Spectral and scattering theory for wave propagation in perturbed stratified media. J. Math. Anal. Appl. 191 (1995), 137-167.
    • (1995) J. Math. Anal. Appl. , vol.191 , pp. 137-167
    • Boutet De Monvel-Berthier, A.1    Manda, D.2
  • 5
    • 0000481795 scopus 로고
    • Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle
    • S. DEBIEVRE and D. W. PRAVICA. Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle. J. Funct. Anal. 98 (1991), 404-436.
    • (1991) J. Funct. Anal. , vol.98 , pp. 404-436
    • Debievre, S.1    Pravica, D.W.2
  • 6
    • 0003179708 scopus 로고
    • Spectral analysis for optical fibres and stratified fluids. II: Absence of eigenvalues
    • S. DEBIEVRE and D. W. PRAVICA. Spectral analysis for optical fibres and stratified fluids. II: Absence of eigenvalues. Commun. Partial Differ. Equations 17 (1992), 69-97.
    • (1992) Commun. Partial Differ. Equations , vol.17 , pp. 69-97
    • Debievre, S.1    Pravica, D.W.2
  • 7
    • 38249039716 scopus 로고
    • Théorie spectrale de la propagation des ondes Acoustiques dans un Millien stratifie perturbe
    • Y. DERMENJIAN and J. C. GUILLOT. Théorie spectrale de la propagation des ondes Acoustiques dans un Millien stratifie perturbe. J. Diff. Equations 62 (1986), 357-409.
    • (1986) J. Diff. Equations , vol.62 , pp. 357-409
    • Dermenjian, Y.1    Guillot, J.C.2
  • 8
    • 33846118011 scopus 로고
    • Exponential bounds and absence of positive eigenvalues for N-body Schroedinger operators
    • R. FROESE and I. HERBST. Exponential bounds and absence of positive eigenvalues for N-body Schroedinger operators. Commun. Math. Phys. 87 (1982), 429-447.
    • (1982) Commun. Math. Phys. , vol.87 , pp. 429-447
    • Froese, R.1    Herbst, I.2
  • 9
    • 38249023204 scopus 로고
    • Spectral theory for symmetric systems in an exterior domain II
    • H. IWASHITA. Spectral theory for symmetric systems in an exterior domain II. J. Funct. Anal. 82 (1989), 91-112.
    • (1989) J. Funct. Anal. , vol.82 , pp. 91-112
    • Iwashita, H.1
  • 10
    • 0000516061 scopus 로고
    • Multiple commutator estimates and resolvent smoothness in quantum scattering theory
    • A. JENSEN, E. MOURRE and P. PERRY. Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Ann. Inst. H. Poincaré Phys. Theor. 41 (1984), 207-225.
    • (1984) Ann. Inst. H. Poincaré Phys. Theor. , vol.41 , pp. 207-225
    • Jensen, A.1    Mourre, E.2    Perry, P.3
  • 11
    • 0007162470 scopus 로고
    • Commutator method and Besov space estimate for Schroedinger operators
    • A. JENSEN and P. PERRY. Commutator method and Besov space estimate for Schroedinger operators. J. Operator Theory 14 (1985), 181-188.
    • (1985) J. Operator Theory , vol.14 , pp. 181-188
    • Jensen, A.1    Perry, P.2
  • 12
    • 0031581290 scopus 로고    scopus 로고
    • Low energy resolvent estimates for acoustic propagators in perturbed stratified media
    • M. KADOWAKI. Low energy resolvent estimates for acoustic propagators in perturbed stratified media. J. Diff. Equations 141 (1997), 25-53.
    • (1997) J. Diff. Equations , vol.141 , pp. 25-53
    • Kadowaki, M.1
  • 13
    • 0000948479 scopus 로고
    • Limiting amplitude principle for the acoustic propagator in perturbed stratified fluids
    • K. KIKUCHI and H. TAMURA. Limiting amplitude principle for the acoustic propagator in perturbed stratified fluids. J. Diff. Equations 93 (1991), 260-282.
    • (1991) J. Diff. Equations , vol.93 , pp. 260-282
    • Kikuchi, K.1    Tamura, H.2
  • 15
    • 33846062287 scopus 로고
    • Absence of singular continuous spectrum for certain selfadjoint operators
    • E. MOURRE. Absence of singular continuous spectrum for certain selfadjoint operators. Commun. Math. Phys. 78 (1981), 391-408.
    • (1981) Commun. Math. Phys. , vol.78 , pp. 391-408
    • Mourre, E.1
  • 16
    • 0000682784 scopus 로고
    • Spectral analysis of N-body Schrodinger operators
    • P. PERRY, I. M. SIGAL and B. SIMON. Spectral analysis of N-body Schrodinger operators. Ann. Math. 114 (1981), 519-567.
    • (1981) Ann. Math. , vol.114 , pp. 519-567
    • Perry, P.1    Sigal, I.M.2    Simon, B.3
  • 17
    • 38249039309 scopus 로고
    • Spectral and scattering theory for symmetric systems of nonconstant deficit
    • H. TAMURA. Spectral and scattering theory for symmetric systems of nonconstant deficit. J. Funct. Anal. 67 (1986), 73-104.
    • (1986) J. Funct. Anal. , vol.67 , pp. 73-104
    • Tamura, H.1
  • 18
    • 84972575494 scopus 로고
    • Resolvent estimates at low frequencies and limiting amplitude principle for acoustic propagators
    • H. TAMURA. Resolvent estimates at low frequencies and limiting amplitude principle for acoustic propagators. J. Math. Soc. Japan 41 (1989), 549-575.
    • (1989) J. Math. Soc. Japan , vol.41 , pp. 549-575
    • Tamura, H.1
  • 19
    • 0039560798 scopus 로고
    • Spectral and scattering theory in perturbed stratified fluids
    • R. WEDER. Spectral and scattering theory in perturbed stratified fluids. J. Math. Pures et Appl. 64 (1985), 149-173.
    • (1985) J. Math. Pures et Appl. , vol.64 , pp. 149-173
    • Weder, R.1
  • 20
    • 5244364434 scopus 로고
    • Spectral and scattering theory in perturbed stratified fluids II. Transmission problems and exterior domains
    • R. WEDER. Spectral and scattering theory in perturbed stratified fluids II. Transmission problems and exterior domains. J. Diff. Equations 64 (1986), 109-131.
    • (1986) J. Diff. Equations , vol.64 , pp. 109-131
    • Weder, R.1
  • 21
    • 0011339726 scopus 로고
    • The limiting absorption principle at thresholds
    • R. WEDER. The limiting absorption principle at thresholds. J. Math. Pures et Appl. 67 (1988), 313-338.
    • (1988) J. Math. Pures et Appl. , vol.67 , pp. 313-338
    • Weder, R.1
  • 22
    • 0000661609 scopus 로고
    • Absence of eigenvalues of the acoustic propagators in deformed waveguides
    • R. WEDER. Absence of eigenvalues of the acoustic propagators in deformed waveguides. Rocky Mountain J. Math. 18 (1988), 495-503.
    • (1988) Rocky Mountain J. Math. , vol.18 , pp. 495-503
    • Weder, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.