Heat kernels of two-dimensional magnetic Schrödinger and Pauli operators

DOI10.1007/s00526-011-0437-4zbMath1244.47038arXiv1007.1851OpenAlexW3103448083MaRDI QIDQ425166

Hynek Kovařík

Publication date: 7 June 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1851

zbMATH Keywords

Schrödinger operatorPauli operatorheat kernels

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger and Feynman-Kac semigroups (47D08) Heat kernel (35K08)

Related Items (15)

Dispersive estimates for 2D-wave equations with critical potentials ⋮ Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients ⋮ The Brownian traveller on manifolds ⋮ Improved time-decay for a class of many-magnetic Schrödinger flows ⋮ The improved decay rate for the heat semigroup with local magnetic field in the plane ⋮ On the improvement of the Hardy inequality due to singular magnetic fields ⋮ Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field ⋮ Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows ⋮ Heat kernel estimates for Schrödinger operators on exterior domains with Robin boundary conditions ⋮ Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic field ⋮ Decay and Strichartz estimates in critical electromagnetic fields ⋮ The Hardy inequality and the heat equation with magnetic field in any dimension ⋮ Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two ⋮ On parabolic equations with critical electromagnetic potentials ⋮ Resolvent expansion and time decay of the wave functions for two-dimensional magnetic Schrödinger operators

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• A diamagnetic inequality for semigroup differences

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