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Dispersal of waves vanishing on the boundary of an exterior domain. (English) Zbl 0297.35047


MSC:

35L05 Wave equation
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
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[1] and , Energy boundedness and decay of waves reflecting off a moving obstacle, to be published in Indiana Math. J.
[2] and , Scattering Theory, Academic Press, New York, 1967.
[3] Lax, Indiana Math. J. 22 pp 101– (1972)
[4] Morawetz, Proc. Roy. Soc. A306 pp 291– (1968) · Zbl 0157.41502
[5] Decay for solutions of the exterior problem for the wave equation, Comm. Pure Appl. Math., this issue, pp. 229–264. · Zbl 0304.35064
[6] Ralston, Comm. Pure Appl. Math. 22 pp 807– (1969)
[7] Decay of solutions of hyperbolic equations with localized nonlinear terms, Symposia Mathematica VII, Ist. Naz. Alta Mat., Rome, 1971, pp. 339–355.
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