Inverse problems for elliptic equations with fractional power type nonlinearities
| Autor: | Tony Liimatainen, Teemu Tyni, Mikko Salo, Yi-Hsuan Lin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Mathematics - Differential Geometry
Applied Mathematics 010102 general mathematics Type (model theory) Inverse problem 01 natural sciences Fractional power Power (physics) 010101 applied mathematics Nonlinear system Mathematics - Analysis of PDEs Differential Geometry (math.DG) Linearization 35R30 35J25 35J61 FOS: Mathematics Applied mathematics Order (group theory) 0101 mathematics Analysis Linear equation Analysis of PDEs (math.AP) Mathematics |
| Popis: | 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 [LLLS20a, LLLS20b] remain valid for general power type nonlinearities. 24 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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