论文标题

确定分数磁calderón问题中的磁电势

Determining The Magnetic Potential In The Fractional Magnetic Calderón Problem

论文作者

Li, Li

论文摘要

我们通过使用积分身份从分数线性磁磁calderón问题中DIRICHLET到Neumann图的外部部分测量的磁电势和电势。我们还通过使用一阶线性化来确定分数半线性磁calderón问题中的磁电势和非线性。

We determine both the magnetic potential and the electric potential from the exterior partial measurements of the Dirichlet-to-Neumann map in the fractional linear magnetic Calderón problem by using an integral identity. We also determine both the magnetic potential and the nonlinearity in the fractional semilinear magnetic Calderón problem by using a first order linearization.

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