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University of Birmingham > Talks@bham > Analysis seminar > Quadratic estimates for Hodge-Dirac operators with potentials
Quadratic estimates for Hodge-Dirac operators with potentialsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Alessio Martini. We prove quadratic estimates for additive perturbations of first-order elliptic systems on Rn, such as the perturbed Hodge-Dirac operator D=d+d*+V. In particular, homogeneous estimates require potentials V in Ln with sufficiently small norm. A substantial reworking of existing techniques is needed in that case. The inhomogeneous estimates, however, follow from a straight-forward perturbation argument that allows for potentials V in Lp for any p>n. The solution of the Kato square root problem for second-order elliptic equations with singular lower order terms follows as an application. This includes magnetic Schrödinger operators with singular potentials. This talk is part of the Analysis seminar series. This talk is included in these lists:Note that ex-directory lists are not shown. |
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