RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 393, Pages 29–45 (Mi znsl4614)

This article is cited in 2 papers

Determination of distances to virtual source from dynamical boundary data

M. I. Belishev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: In the paper, we show that the dynamical boundary data (the response operator), which correspond to the measurements at the boundary of a Riemannian manifold, do determine the distances (wave travel times) from the boundary points to an interior source with a given semi-geodesic coordinates. The procedure, which determines these distances, is in principle available for numerical realization.

Key words and phrases: BC-method, Riemannian manifold, wave equation, time-domain boundary data, determination of distances to interior points.

UDC: 517

Received: 28.09.2011


 English version:
Journal of Mathematical Sciences (New York), 2012, 185:4, 526–535

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024