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arxiv: 1211.1030 · v1 · pith:XVFOT7UVnew · submitted 2012-11-05 · 🧮 math.AP

The forward problem for the electromagnetic Helmholtz equation with critical singularities

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keywords problemforwardapplicationsassociatedcriticalelectromagneticequationestimates
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We study the forward problem of the magnetic Schr\"odinger operator with potentials that have a strong singularity at the origin. We obtain new resolvent estimates and give some applications on the spectral measure and on the solutions of the associated evolution problem.

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