L^p mapping properties for nonlocal Schrödinger operators with certain potential

2016/12/15 by Choi, Woocheol, Kim, Yong-Cheol
#35B65 #35D10 (60J75) #35J60 #45K05 #47G20 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.07144

Abstract

In this paper, we consider nonlocal Schrödinger equations with certain potentials V given by an integro-differential operator L_K as follows; L_K u+V u=f in \BRⁿ where V∈\rh^q for q>\fn2s and 0

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