On perturbed wave equations with time-dependent coefficients
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 11 (1984) no. 4, p. 541-558 
@article{ASNSP_1984_4_11_4_541_0,
     author = {Perla Menzala, Gustavo},
     title = {On perturbed wave equations with time-dependent coefficients},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 11},
     number = {4},
     year = {1984},
     pages = {541-558},
     zbl = {0592.35079},
     mrnumber = {808423},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1984_4_11_4_541_0}
}

Perla Menzala, Gustavo. On perturbed wave equations with time-dependent coefficients. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 11 (1984) no. 4, pp. 541-558. http://www.numdam.org/item/ASNSP_1984_4_11_4_541_0/

[1] C.O. Bloom - N.D. Kazarinoff, Energy decays locally even if total energy grows algebraically with time, J. Differential Equations, 16 (1974), pp. 352-372. | MR 350215 | Zbl 0279.35054

[2] J. Cooper - W.A. Strauss, Energy boundedness and decay of waves reflecting off a moving obstacle, Indiana Univ. Math. J., 25 (1976), pp. 671-690. | MR 415093 | Zbl 0348.35059

[3] R. Courant - D. Hilbert, Methods of Mathematical Physics, Vol. II, Interscience, New York (1962). | MR 140802 | MR 65391 | Zbl 0099.29504

[4] O.A. Ladyzhenskaya, On the principle of limiting amplitude, Uspekhi Mat. Nauk (N.S.), 12 (1957), 3 (75), pp. 161-164. | MR 90401 | Zbl 0078.27902

[5] P.D. Lax - R. Phillips, Scattering Theory, Academic Press, New York (1967). | MR 217440 | Zbl 0214.12002 | Zbl 0186.16301

[6] R.B. Melrose, Singularities and energy decay in acoustical scattering, Duke Mathematical J., 46 (1) (1979), pp. 43-59. | MR 523601 | Zbl 0415.35050

[7] C. Morawetz, Exponential decay of solutions of the wave equation, Comm. Pure Appl. Math., 19 (1966), pp. 439-444. | MR 204828 | Zbl 0161.08002

[8] C. Morawetz - J.V. Ralston - W.A. Strauss, Decay of sotutions of the wave equation outside nontrapping obstacles, Comm. Pure Appl. Math., 30 (1977), pp. 447-508. | MR 509770 | Zbl 0372.35008

[9] G. Perla Menzala - T. Schonbek, Does Huygens' principle hold for small perturbations of the wave equation?, J. Diff. Equations 54 (2), (1984) pp. 283-294. | MR 757297 | Zbl 0502.35011

[10] G. Perla Menzala, Classical solutions of perturbed wave equations in odd space dimensions do not necessarily propagate on spherical shells, Proc. Roy. Soc. Edynburgh Sect. 96A (1984) pp. 337-344. | MR 760782 | Zbl 0555.35072

[11] W. Strauss, Dispersal of waves vanishing on the boundary of an exterior domain, Comm. Pure Appl. Math., 28 (1975), pp. 265-278. | MR 367461 | Zbl 0297.35047

[12] H. Tamura, On the decay of local energy for wave equations with time-dependent potential, J. Math. Soc. Japan, 33 (4) (1981), pp. 605-618. | MR 630627 | Zbl 0463.35046

[13] D. Thoe, On the exponential decay of solutions of the wave equation, J. Math, Anal. Appl., 16 (1966), pp. 333-346. | MR 209656 | Zbl 0171.07301

[14] E.C. Zachmanoglou, The decay of solutions of the initial boundary value problem for hyperbolic equations, J. Math. Anal. Appl., 13:(3) (1966), pp. 504-515. | MR 188619 | Zbl 0135.31702