On-diagonal estimates on Schrödinger semigroup kernels and reduced heat kernels

Adam Sikora

On-diagonal estimates on Schrödinger semigroup kernels and reduced heat kernels

Adam Sikora^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

We prove various estimates for the kernels of semigroups generated by Schrödinger operators with magnetic field and potential of polynomial growth. We also investigate the reduced heat kernels.

Original language	English
Pages (from-to)	233-249
Number of pages	17
Journal	Communications in Mathematical Physics
Volume	188
Issue number	1
Publication status	Published - 1997
Externally published	Yes

Cite this

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title = "On-diagonal estimates on Schr{\"o}dinger semigroup kernels and reduced heat kernels",

abstract = "We prove various estimates for the kernels of semigroups generated by Schr{\"o}dinger operators with magnetic field and potential of polynomial growth. We also investigate the reduced heat kernels.",

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AB - We prove various estimates for the kernels of semigroups generated by Schrödinger operators with magnetic field and potential of polynomial growth. We also investigate the reduced heat kernels.

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EP - 249

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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On-diagonal estimates on Schrödinger semigroup kernels and reduced heat kernels

Abstract

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