This article is cited in 5 papers

Scattering problem for the differential operator $\partial_x\partial_y+1+a(x,y)\partial_y+ b(x,y)$

T. I. Garagash, A. K. Pogrebkov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: Scattering problem for two-dimensional Klein–Gordon equation with nonconstant coefficients is considered in the framework of the resolvent approach. Jost and retarded/advanced solutions and spectral data are introduced and their properties are presented. Inverse scattering problem is formulated.

Received: 24.10.1994

 English version: Theoretical and Mathematical Physics, 1995, 102:2, 117–132

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