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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...
We consider the Neumann Sturm-Liouville problem de ned on trees such that the ratios of lengths of edges are not necessarily rational. It is shown that the potential function of the Sturm-Liouville op...
On the dispersionless Kadomtsev-Petviashvili equation in n+1 dimensions: exact solutions, the Cauchy problem for small initial data and wave breaking
Kadomtsev-Petviashvili equation wave breaking n+1 dimensions
2010/4/1
We study the (n+1)-dimensional generalization of the dispersionless Kadomtsev-Petviashvili (dKP) equation, a universal equation describing the propagation of weakly nonlinear, quasi one dimensional wa...