Recovering a Variable Exponent
Brander, T., & Siltakoski, J. (2021). Recovering a Variable Exponent. Documenta Mathematica, 26, 713-731. https://doi.org/10.25537/dm.2021v26.713-731
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Documenta MathematicaDate
2021Copyright
© Authors, 2021
We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x)-Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural obstruction of rearrangements. The main technique is using the properties of a moment problem after reducing the inverse problem to determining a function from its Lp-norms.
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Fakultät für Mathematik, Universität BielefeldISSN Search the Publication Forum
1431-0635Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/100397877
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Additional information about funding
Tommi Brander was funded by the FRIPRO Toppforsk project ‘Waves and Nonlinear Phenomena’.License
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