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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2015 Volume 438, Pages 104–117 (Mi znsl6187)

This article is cited in 3 papers

On inverse source problem for wave equation

M. N. Demchenko

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: We study the question of identification of initial data in the Cauchy problem for the wave equation with variable velocity. The wave field on some surface in the time-space is assumed to be known. Under some assumptions concerning the velocity it is shown that some part of singularities of initial data can be recovered.

Key words and phrases: inverse source problem, wave equation, Fourier integral operators.

UDC: 517.951

Received: 09.11.2015


 English version:
Journal of Mathematical Sciences (New York), 2017, 224:1, 69–78

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© Steklov Math. Inst. of RAS, 2024