Work

Variable exponent Calderón's problem in one dimension

Year: 2019

Type: article

Abstract: 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.

Source: Annales Academiae Scientiarum Fennicae Mathematica

DOI: 10.5186/aasfm.2019.4459

Authors: Tommi Brander, David Winterrose

Institution: Technical University of Denmark

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2885219844

FWCI: 0.31

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Cited by: 3

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