Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589874 | Journal of Functional Analysis | 2015 | 33 Pages |
Abstract
In space dimension n≥3n≥3, we consider the electromagnetic Schrödinger Hamiltonian H=(∇−iA(x))2+VH=(∇−iA(x))2+V and the corresponding Helmholtz equation(∇−iA(x))2u+(1±iϵ)u+V(x)u=finRn, where the magnetic and electric potentials are allowed to have singularities at the origin and decay at infinity. We extend the well known LpLp–LqLq estimates for the solution of the free Helmholtz equation to the case when the electromagnetic Hamiltonian H is considered. This work extends the results that appear in [7].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Andoni Garcia,