Recovering a variable exponent
Copyright policy )Recovering a variable exponent
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 L^p -norms.
non-standard growth, variable exponent, elliptic equation, quasilinear equation, inversio-ongelmat, Calderón's problem, Mathematics - Analysis of PDEs, approximation by polynomials, FOS: Mathematics, 34A55 (Primary) 41A10, 34B15, 28A25 (Secondary), inverse problem, Matematiikka, approksimointi, Müntz-Szász theorem, differentiaaliyhtälöt, Mathematics, Analysis of PDEs (math.AP)
non-standard growth, variable exponent, elliptic equation, quasilinear equation, inversio-ongelmat, Calderón's problem, Mathematics - Analysis of PDEs, approximation by polynomials, FOS: Mathematics, 34A55 (Primary) 41A10, 34B15, 28A25 (Secondary), inverse problem, Matematiikka, approksimointi, Müntz-Szász theorem, differentiaaliyhtälöt, Mathematics, Analysis of PDEs (math.AP)
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