A note on immersions of domains of fractional powers of certain sectorial operators in Sobolev spaces |
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| Authors: | Anderson Luis A. de Araujo José Luiz Boldrini |
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| Affiliation: | 1. Departamento de Matemática, Universidade Federal de Viçosa, MG, Brazil;2. Departamento de Matemática, Universidade Estadual de Campinas, SP, Brazil |
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| Abstract: | In this note we give a proof of a result on immersions of domains of fractional powers of certain sectorial operators associated to strongly elliptic operators in Sobolev spaces; such immersions preserve information on fractional derivatives. We also briefly comment on the application of this result to a problem of optimal control of mosquito populations. |
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