Abstract
We study the heat semigroups generated by two-dimensional magnetic Schrödinger and Pauli operators with compactly supported magnetic field. We show that the large time behaviour of the associated heat kernels is determined by the total flux of the magnetic fields.
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Communicated by L. Ambrosio.
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Kovařík, H. Heat kernels of two-dimensional magnetic Schrödinger and Pauli operators. Calc. Var. 44, 351–374 (2012). https://doi.org/10.1007/s00526-011-0437-4
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DOI: https://doi.org/10.1007/s00526-011-0437-4