Inverse scattering problem for the two-dimensional Schrodinger operator, ∂-bar - method and nonlinear equationsстатья
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Дата последнего поиска статьи во внешних источниках: 13 января 2015 г.
Аннотация:The scattering problem for the 2-dimensional Schrodinger operator at a fixed positiveenergy is solved. Two types of scattering data are introduced - the nonlocal Riemann data and the \bar\partial - data. The nonlocal Riemann problem data is in one-to-one correspondence with the physical scattering data at this energy and the \bar\partial data parameterizes the set of all potentials with fixed scattering amplitude at one energy.