Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D
نویسندگان
چکیده
Abstract We study the $L^{p}-L^{q}$-type uniform resolvent estimates for 2D-Schrödinger operators in scaling-critical magnetic fields, involving Aharonov–Bohm model as a main example. As an application, we prove localization eigenvalue of some non–self-adjoint zero-order perturbations Hamiltonian.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2023
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnac362