The two-velocity dynamical system: Boundary control of waves and inverse problems

被引：10

作者：

Belishev, M

Blagovestchenskii, A

Ivanov, S

机构：

[1] ST PETERSBURG STATE UNIV,DEPT PHYS,ST PETERSBURG,RUSSIA

[2] ST PETERSBURG STATE UNIV,INST MATH & MECH,ST PETERSBURG,RUSSIA

来源：

WAVE MOTION | 1997年 / 25卷 / 01期

关键词：

D O I：

10.1016/S0165-2125(96)00035-2

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The paper deals with an approach to inverse problems (IPs) based on relations between the IP and the Boundary Control Theory (so-called BC-method). A vector variant of the method is elaborated for a class of dynamical systems with two different types of waves, which propagate with two different velocities interacting with one another. Controllability of these systems is investigated. The obtained results are applied to IF. In particular a procedure of solving the inverse scattering problem with finite potential is proposed.

引用

页码：83 / 107

页数：25

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