On the wave operator for dissipative potentials with small imaginary part

نویسندگان

  • Xue Ping Wang
  • Lu Zhu
چکیده

We determine the range of the incoming wave operator for the pair of operators (−∆,−∆+V1(x)−iεV2(x)) on L (R) under the conditions n ≥ 3 and 0 is a regular point of −∆ + V1, V2 ≥ 0 and ε > 0 is small enough. This implies that the dissipative scattering operator is bijective.

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عنوان ژورنال:
  • Asymptotic Analysis

دوره 86  شماره 

صفحات  -

تاریخ انتشار 2014