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Mat. Sb., 1990, Volume 181, Number 5, Pages 684–704 (Mi msb1197)  

On the uniform quasiasymptotics of the solutions of hyperbolic equations

V. Zh. Dumanyan

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: The uniform quasiasymptotics as $t\to\infty$ of the solutions of the second mixed problem and of the Cauchy problem for a linear hyperbolic second order equation are studied in the scale of self-similar functions. The method of investigation is based on the construction, in terms of a given self-similar function, of a special convolution operator that reduces the study of the quasiasymptotics to that of the power scale case discussed earlier.

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English version:
Mathematics of the USSR-Sbornik, 1991, 70:1, 109–128

Bibliographic databases:

UDC: 517.9
MSC: 35L15, 35L20, 35B40
Received: 15.06.1989

Citation: V. Zh. Dumanyan, “On the uniform quasiasymptotics of the solutions of hyperbolic equations”, Mat. Sb., 181:5 (1990), 684–704; Math. USSR-Sb., 70:1 (1991), 109–128

Citation in format AMSBIB
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\issue 1
\pages 109--128
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