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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2002 Volume 285, Pages 33–38 (Mi znsl1550)
On behavior of the solution of a generalized Cauchy problem for the wave equation at infinity

A. S. Blagoveshchenskii, A. A. Novitskaya

Saint-Petersburg State University

Abstract: We prove an asymptotic formula for a Cauchy problem for the wave equation for a point $(x,t)$ moving to infinity in a characteristic direction. Initial data are generalized functions with a compact support.

UDC: 517

Received: 20.12.2001


 English version: Journal of Mathematical Sciences (New York), 2004, 122:5, 3470–3472

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© Steklov Math. Inst. of RAS, 2024