Recovering a variable exponent
Tommi Brander
Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, NorwayJarkko Siltakoski
Department of Mathematics and Statistics, University of Jyväskylä, Jyväskylä, Finland
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Abstract
We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent -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 -norms.
Cite this article
Tommi Brander, Jarkko Siltakoski, Recovering a variable exponent. Doc. Math. 26 (2021), pp. 713–731
DOI 10.4171/DM/827