The forward problem for the electromagnetic Helmholtz equation with critical singularities
Copyright policy )The forward problem for the electromagnetic Helmholtz equation with critical singularities
We study the forward problem of the magnetic Schr��dinger 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.
cross-section, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, singular potentials, magnetic Schrödinger operator, spectral theory, A priori estimates in context of PDEs, Mathematics - Analysis of PDEs, Scattering theory for PDEs, FOS: Mathematics, Spectrum, resolvent, uniform estimates, PDEs in connection with optics and electromagnetic theory, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)
cross-section, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, singular potentials, magnetic Schrödinger operator, spectral theory, A priori estimates in context of PDEs, Mathematics - Analysis of PDEs, Scattering theory for PDEs, FOS: Mathematics, Spectrum, resolvent, uniform estimates, PDEs in connection with optics and electromagnetic theory, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)
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