Low energy resolvent estimates for acoustic propagators in perturbed stratified media

Journal of Differential Equations

Volumn 141, Issue 1, 1997, Pages 25-53

  Kadowaki, Mitsuteru ^a,b  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

^b TOKYO METROPOLITAN COLLEGE OF AERONAUTICAL ENGINEERING   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031581290     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1997.3325     Document Type: Article

References (8)

1. 1. M. Kadowaki, Asymptotic completeness for acoustic propagators in perturbed stratified media, Integral Eq. Operator Th. 26 (1996), 432-459.
2. 2. M. Kadowaki, The limiting amplitude principle for the acoustic wave operators in two unbounded media, Tsukuba. J. Math. 18 (1994), 175-191.
3. 3. K. Kikuchi and H. Tamura, The limiting amplitude principle for acoustic propagators in perturbed stratified fluids, J. Differential Equations 93 (1991), 260-282.
4. 4. E. Mourre, Absence of singular continuous spectrum for certain self-adjoint operators, Comm. Math. Phys. 78 (1981), 391-408.
5. 5. H. Tamura, Resolvent estimates at low frequencies and limiting amplitude principle for acoustic propagators, J. Math. Soc. Japan 41 (1989), 549-575.
6. 6. R. Weder, "Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media," Applied Mathematical Sciences, Vol. 87, Springer-Verlag, New York/Berlin/ Heidelberg, 1991.
7. 7. R. Weder, Spectral analysis of strongly propagator systems, J. Reine Angew. Math. 354 (1984), 95-122.
8. 8. C. Wilcox, "Sound Propagation in Stratified Fluids," Applied Mathematical Sciences, Vol. 50, Springer-Verlag, New York/Berlin/Heidelberg, 1984.