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The forward problem for the electromagnetic Helmholtz equation with critical singularities |
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| Authors: | Juan Antonio Barceló Luis Vega Miren Zubeldia |
| Institution: | 1. ETSI de Caminos, Universidad Politécnica de Madrid, 28040, Madrid, Spain;2. Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, 48080, Bilbao, Spain |
| Abstract: | We study the forward problem of the magnetic Schrödinger 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. |
| Keywords: | 35B25 35B45 35J05 35P25 35Q60 47A10 |
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