{ "id": "2108.08741", "version": "v1", "published": "2021-08-19T15:17:49.000Z", "updated": "2021-08-19T15:17:49.000Z", "title": "Elliptic problems in Besov and Sobolev-Triebel-Lizorkin spaces of low regularity", "authors": [ "I. S. Chepurukhina", "A. A. Murach" ], "comment": "8 pages", "categories": [ "math.AP" ], "abstract": "Elliptic problems with additional unknown distributions in boundary conditions are investigated in Besov and Sobolev-Triebel-Lizorkin spaces of low regularity, specifically of an arbitrary negative order. We find that the problems induce Fredholm bounded operators on appropriate pairs of these spaces.", "revisions": [ { "version": "v1", "updated": "2021-08-19T15:17:49.000Z" } ], "analyses": { "subjects": [ "35J40", "46E35" ], "keywords": [ "elliptic problems", "sobolev-triebel-lizorkin spaces", "low regularity", "problems induce fredholm bounded operators", "additional unknown distributions" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }