The solution of Kato's conjectures |
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| Affiliation: | 1. LAMFA, CNRS, FRE 2270, Université de Picardie–Jules-Verne, 33, rue Saint-Leu, 80039 Amiens cedex 1, France;2. Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211, États-Unis;3. School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, États-Unis;4. Department of Mathematics, University of Kentucky, Lexington, KY 40506-0027, États-Unis;5. Centre for Mathematics and its Applications, ANU, Canberra, ACT 0200, Australie;6. LATP, CNRS, UMR 6632 et faculté des sciences et techniques de St-Jérome, Université d''Aix–Marseille-III, avenue Escadrille Normandie-Niemen, 13397 Marseille cedex 20, France;1. School of Mathematics, Sichuan University, Chengdu, 610064, China;2. Departamento de Matemáticas, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain;1. School of Mathematical Science, Anhui University, Hefei, 230601, PR China;2. Department of Mathematics, Nanjing University, Nanjing, 210093, PR China;1. Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA;2. Department of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland |
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| Abstract: | In this Note, we announce the solution of Kato's conjectures about the domain of square roots of differential elliptic operators in the Euclidean space or a Lipschitz domain. |
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