Energy decays locally even if total energy grows algebraically with time
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- by Clifford O. Bloom and Nicholas D. Kazarinoff PDF
- Bull. Amer. Math. Soc. 79 (1973), 969-972
References
- Nicholas D. Kazarinoff and Clifford O. Bloom, Energy decay in nonhomogeneous media, Analyse fonctionnelle et applications (Comptes Rendus Colloq. d’Analyse, Inst. Mat., Univ. Fed. Rio de Janeiro, Rio de Janeiro, 1972) Actualités Sci. Indust., No. 1367, Hermann, Paris, 1975, pp. 165–172. MR 0385335
- Cathleen S. Morawetz, The limiting amplitude principle, Comm. Pure Appl. Math. 15 (1962), 349–361. MR 151712, DOI 10.1002/cpa.3160150303
- Cathleen S. Morawetz, The decay of solutions of the exterior initial-boundary value problem for the wave equation, Comm. Pure Appl. Math. 14 (1961), 561–568. MR 132908, DOI 10.1002/cpa.3160140327
- E. C. Zachmanoglou, The decay of solutions of the initial-boundary value problem for hyperbolic equations, J. Math. Anal. Appl. 13 (1966), 504–515. MR 188619, DOI 10.1016/0022-247X(66)90045-X
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 969-972
- MSC (1970): Primary 35B05, 35L10, 78A45; Secondary 35P25, 78A05
- DOI: https://doi.org/10.1090/S0002-9904-1973-13282-3
- MathSciNet review: 0316908