Fundamental solutions for Schrödinger operators with general inverse square potentials

Huyuan Chen; Suad Alhomedan; Hichem Hajaiej; Peter Markowich

doi:10.1080/00036811.2017.1286648

Back

Fundamental solutions for Schrödinger operators with general inverse square potentials

Journal article

Peer reviewed

Fundamental solutions for Schrödinger operators with general inverse square potentials

Huyuan Chen, Suad Alhomedan, Hichem Hajaiej and Peter Markowich

Applicable analysis, Vol.97(5), pp.787-810

04/04/2018

DOI: https://doi.org/10.1080/00036811.2017.1286648

Abstract

fundamental solution

Inverse square potentials

nonexistence

In this paper, we clarify the fundamental solutions for Schrödinger operators given as , where the potential V is a general inverse square potential in with . In particular, letting , where , we discuss the existence and nonexistence of positive fundamental solutions for Hardy operator , which depend on the parameter t.

Metrics

1 Record Views

Details

Title: Fundamental solutions for Schrödinger operators with general inverse square potentials
Creators - without role: Huyuan Chen - Jiangxi Normal University
Suad Alhomedan - King Saud University
Hichem Hajaiej - New York University Shanghai
Peter Markowich - King Abdullah University of Science and Technology
Publication Details: Applicable analysis, Vol.97(5), pp.787-810
Publisher: Taylor & Francis
Grant note: 11661045; 11401270 / NNSF of China (10.13039/501100001809) 20161ACB20007 / Jiangxi Provincial Natural Science Foundation (10.13039/501100004479) RGP- RG-1438-047 / Suad Alhemedan extends their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group NO (RGP- RG-1438-047 )
Identifiers: 9943441808331
Academic Unit: King Abdullah University of Science & Technology; King Saud University
Language: English
Resource Type: Journal article