On t-local solvability of inverse scattering problems in two-dimensional layered media

被引：5
|
作者：
Baev, A. V. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2015年 / 55卷 / 06期
关键词：
acoustic; Klein-Gordon; Schrodinger; Riccati; Navier-Stokes; Gelfand-Levitan and Volterra equations; Dirac system; solvability of inverse scattering problems; WAVE-EQUATION; ALGORITHM;
D O I：
10.1134/S0965542515060032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The solvability of two-dimensional inverse scattering problems for the Klein-Gordon equation and the Dirac system in a time-local formulation is analyzed in the framework of the Galerkin method. A necessary and sufficient condition for the unique solvability of these problems is obtained in the form of an energy conservation law. It is shown that the inverse problems are solvable only in the class of potentials for which the stationary Navier-Stokes equation is solvable.
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页码：1033 / 1050
页数：18
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