{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:07:56Z","timestamp":1760144876333,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T00:00:00Z","timestamp":1716940800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100007129","name":"NSF of Shandong Province","doi-asserted-by":"publisher","award":["ZR2022MA093"],"award-info":[{"award-number":["ZR2022MA093"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, the time-independent Klein-Gordon equation in R3 is treated with a decomposition of the operator \u0394\u2212\u03b32I by the Clifford algebra Cl(V3,3). Some properties of integral operators associated the kind of equations and some Riemann-Hilbert boundary value problems for perturbed Dirac operators are investigated.<\/jats:p>","DOI":"10.3390\/axioms13060363","type":"journal-article","created":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T03:38:30Z","timestamp":1716953910000},"page":"363","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Perturbed Dirac Operators and Boundary Value Problems"],"prefix":"10.3390","volume":"13","author":[{"given":"Xiaopeng","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Linyi University, Linyi 276005, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuanyuan","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Linyi University, Linyi 276005, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1016\/j.jcp.2005.06.006","article-title":"An adaptive fast solver for the modified Helmholtz equation in two dimensions","volume":"211","author":"Cheng","year":"2006","journal-title":"J. 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