This chapter is devoted to studying these topics of inverse problems for the fractional Schrödinger equation with drift, which also contain several directions, including uniqueness, stability, and reconstruction. Different from to its local version, the aforementioned problems can be solved in the fractional setting. Beyond the aforementioned results, one may consider finitely measurements uniqueness result thanks to the UCP of the fractional Laplacian.

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Inverse Problems for the Fractional Schrödinger Equation with Drift

  • Yi-Hsuan Lin,
  • Hongyu Liu

摘要

This chapter is devoted to studying these topics of inverse problems for the fractional Schrödinger equation with drift, which also contain several directions, including uniqueness, stability, and reconstruction. Different from to its local version, the aforementioned problems can be solved in the fractional setting. Beyond the aforementioned results, one may consider finitely measurements uniqueness result thanks to the UCP of the fractional Laplacian.