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Bulletin of the American Mathematical Society

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Energy decays locally even if total energy grows algebraically with time


Authors: Clifford O. Bloom and Nicholas D. Kazarinoff
Journal: Bull. Amer. Math. Soc. 79 (1973), 969-972
MSC (1970): Primary 35B05, 35L10, 78A45; Secondary 35P25, 78A05
MathSciNet review: 0316908
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References [Enhancements On Off] (What's this?)

  • 1. 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) Hermann, Paris, 1975, pp. 165–172. Actualités Sci. Indust., No. 1367. MR 0385335
  • 2. Cathleen S. Morawetz, The limiting amplitude principle, Comm. Pure Appl. Math. 15 (1962), 349–361. MR 0151712
  • 3. 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 0132908
  • 4. 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 0188619

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DOI: https://doi.org/10.1090/S0002-9904-1973-13282-3