On complex-time heat kernels of fractional Schrödinger operators via Phragmén-Lindelöf principle
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2022-09
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Journal Article
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Abstract
We consider fractional Schrödinger operators with possibly singular potentials and derive certain spatially averaged estimates for its complex-time heat kernel. The main tool is a Phragmén–Lindelöf theorem for polynomially bounded functions on the right complex half-plane. The interpolation leads to possibly nonoptimal off-diagonal bounds.
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published
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22 (3)
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62
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Springer
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03355 - Graf, Gian Michele / Graf, Gian Michele