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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
DOI: https://doi.org/10.1090/S0002-9904-1973-13282-3
MathSciNet review: 0316908
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References [Enhancements On Off] (What's this?)

  • 1. C. O. Bloom and N. D. Kazarinoff, Energy decay in nonhomogeneous media, Proc. Sympos. on Analysis (Rio de Janeiro August 15-24, 1972), Hermann, Paris (to appear). MR 385335
  • 2. Cathleen S. Morawetz, The limiting amplitude principle, Comm. Pure Appl. Math. 15 (1962), 349-361. MR 27 #1696. MR 151712
  • 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 24 # A2744. MR 132908
  • 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 32 #6055. MR 188619

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

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