Inverse problems for elliptic equations with fractional power type nonlinearities
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
Published in
Journal of Differential EquationsDate
2022Discipline
Inversio-ongelmien huippuyksikköMatematiikkaCentre of Excellence in Inverse ProblemsMathematicsCopyright
© 2022 Elsevier
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.
Publisher
ElsevierISSN Search the Publication Forum
0022-0396Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/101789930
Metadata
Show full item recordCollections
Related funder(s)
Research Council of FinlandFunding program(s)
Academy Project, AoF; Centre of Excellence, AoFAdditional information about funding
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 ...
License
Except where otherwise noted, this item's license is described as In Copyright