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Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave
inverse scattering non-overdetermined data fixed direction of the incident wave scattering data
2011/1/21
Let q(x) be real-valued compactly supported sufficiently smooth func-tion. It is proved that the scattering data A( , 0, k) 8 2 S2, 8k > 0, determine q uniquely. Here 0 2 S2 is a fixed direction of...
Exponential instability in the inverse scattering problem on the energy interval
Exponential instability inverse energy interval
2011/2/28
We consider the inverse scattering problem on the energy interval in three dimensions.We are focused on stability and instability questions for this problem. In particular,we prove an exponential inst...
Linearized inverse scattering based on seismic Reverse Time Migration
Linearized inverse seismic Reverse Time Migration
2011/2/23
In this paper we study the linearized inverse problem associated with imaging of re ection seismic data.
Two-component {CH} system: Inverse Scattering, Peakons and Geometry
Two-component {CH} system Inverse Scattering Peakons and Geometry
2010/12/16
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equa-tion. As an illustration of the ...
Inverse Scattering for a Schrodinger Operator with a Repulsive Potential
Inverse scattering Repulsive potential
2007/12/11
We consider a pair of Hamiltonians $(H, H_0 )$ on $L^2 ({\Bbb R}^n ),$ where $H_0 = p^2 -x^2$ is a Schr\" odinger operator with a repulsive potential, and $H= H_0 +V(x)$. We show that, under suitable ...