Variable exponent Calderón's problem in one dimension

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We consider one-dimensional Calderón's problem for the variable exponent p(·)-Laplace equation and find out that more can be seen than in the constant exponent case. The problem is to recover an unknown weight (conductivity) in the weighted p(·)-Laplace equation from Dirichlet and Neumann data of solutions. We give a constructive and local uniqueness proof for conductivities in L restricted to the coarsest sigma-algebra that makes the exponent p(·) measurable.
Original languageEnglish
JournalAnnales Academiæ Scientiarum Fennicæ Mathematica
Volume44
Pages (from-to)925-943
ISSN1239-629X
DOIs
Publication statusPublished - 2019
CitationsWeb of Science® Times Cited: No match on DOI

    Research areas

  • Calderón's problem, Inverse problem, Variable exponent, Non-standard growth, Elliptic equation, Quasilinear equation

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