Inverse problems for elliptic equations with fractional power type nonlinearities

Liimatainen, Tony; Lin, Yi-Hsuan; Salo, Mikko; Tyni, Teemu

doi:10.1016/j.jde.2021.10.015

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Liimatainen, T., Lin, Y.-H., Salo, M., & Tyni, T. (2022). Inverse problems for elliptic equations with fractional power type nonlinearities. Journal of Differential Equations, 306, 189-219. https://doi.org/10.1016/j.jde.2021.10.015

Julkaistu sarjassa

Journal of Differential Equations

Tekijät

Liimatainen, Tony |

Lin, Yi-Hsuan |

Salo, Mikko |

Tyni, Teemu

Päivämäärä

2022

Oppiaine

Inversio-ongelmien huippuyksikkö Matematiikka Centre of Excellence in Inverse Problems Mathematics

Tekijänoikeudet

We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps us to solve inverse problems for certain nonlinear equations in cases where the solution for a corresponding linear equation is not known. By using a fractional order adaptation of this method, we show that the results of [24], [23] remain valid for general power type nonlinearities.

Julkaisija

Elsevier

ISSN Hae Julkaisufoorumista

0022-0396

Rahoittaja(t)

Suomen Akatemia

Rahoitusohjelmat(t)

Akatemiahanke, SA; Huippuyksikkörahoitus, SA

Lisätietoja rahoituksesta

T.L. and M.S. are supported by the Finnish Centre of Excellence in Inverse Modelling and Imaging, Academy of Finland grant 284715, and T.T. by grant 312119. M.S. was also supported by the Academy of Finland (grant 309963) and by the European Research Council under Horizon 2020 (ERC CoG 770924). Y.-H.L. is supported by the Ministry of Science and Technology, Taiwan, under the ... showmore

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