@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},
pages = {541--558},
year = {1984},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 11},
number = {4},
mrnumber = {808423},
zbl = {0592.35079},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1984_4_11_4_541_0/}
}
TY - JOUR AU - Perla Menzala, Gustavo TI - On perturbed wave equations with time-dependent coefficients JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1984 SP - 541 EP - 558 VL - 11 IS - 4 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1984_4_11_4_541_0/ LA - en ID - ASNSP_1984_4_11_4_541_0 ER -
%0 Journal Article %A Perla Menzala, Gustavo %T On perturbed wave equations with time-dependent coefficients %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1984 %P 541-558 %V 11 %N 4 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1984_4_11_4_541_0/ %G en %F 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. https://www.numdam.org/item/ASNSP_1984_4_11_4_541_0/
[1] - , Energy decays locally even if total energy grows algebraically with time, J. Differential Equations, 16 (1974), pp. 352-372. | Zbl | MR
[2] - , Energy boundedness and decay of waves reflecting off a moving obstacle, Indiana Univ. Math. J., 25 (1976), pp. 671-690. | Zbl | MR
[3] - , Methods of Mathematical Physics, Vol. II, Interscience, New York (1962). | Zbl | MR
[4] , On the principle of limiting amplitude, Uspekhi Mat. Nauk (N.S.), 12 (1957), 3 (75), pp. 161-164. | Zbl | MR
[5] - , Scattering Theory, Academic Press, New York (1967). | Zbl | MR
[6] , Singularities and energy decay in acoustical scattering, Duke Mathematical J., 46 (1) (1979), pp. 43-59. | Zbl | MR
[7] , Exponential decay of solutions of the wave equation, Comm. Pure Appl. Math., 19 (1966), pp. 439-444. | Zbl | MR
[8] - - , Decay of sotutions of the wave equation outside nontrapping obstacles, Comm. Pure Appl. Math., 30 (1977), pp. 447-508. | Zbl | MR
[9] - , Does Huygens' principle hold for small perturbations of the wave equation?, J. Diff. Equations 54 (2), (1984) pp. 283-294. | Zbl | MR
[10] , 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. | Zbl | MR
[11] , Dispersal of waves vanishing on the boundary of an exterior domain, Comm. Pure Appl. Math., 28 (1975), pp. 265-278. | Zbl | MR
[12] , On the decay of local energy for wave equations with time-dependent potential, J. Math. Soc. Japan, 33 (4) (1981), pp. 605-618. | Zbl | MR
[13] , On the exponential decay of solutions of the wave equation, J. Math, Anal. Appl., 16 (1966), pp. 333-346. | Zbl | MR
[14] , The decay of solutions of the initial boundary value problem for hyperbolic equations, J. Math. Anal. Appl., 13:(3) (1966), pp. 504-515. | Zbl | MR





