Monotonicity and Enclosure Methods for the p-Laplace Equation
Brander, T., Harrach, B., Kar, M., & Salo, M. (2018). Monotonicity and Enclosure Methods for the p-Laplace Equation. SIAM Journal on Applied Mathematics, 78(2), 742-758. https://doi.org/10.1137/17M1128599
Julkaistu sarjassa
SIAM Journal on Applied MathematicsPäivämäärä
2018Tekijänoikeudet
© 2018 Tommi Brander, Bastian Harrach, Manas Kar, Mikko Salo
We show that the convex hull of a monotone perturbation of a homogeneous background
conductivity in the p-conductivity equation is determined by knowledge of the nonlinear
Dirichlet--Neumann operator. We give two independent proofs: one is based on the monotonicity
method and the other on the enclosure method. Our results are constructive and require no jump
or smoothness properties on the conductivity perturbation or its support.
Julkaisija
Society for Industrial and Applied MathematicsISSN Hae Julkaisufoorumista
1095-712XJulkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/27840217
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