Quantitative estimates on Jacobians for hybrid inverse problems

Quantitative estimates on Jacobians for hybrid inverse problems

Автор: Alessandrini G., Nesi V.

Журнал: Вестник Южно-Уральского государственного университета. Серия: Математическое моделирование и программирование @vestnik-susu-mmp

Рубрика: Математическое моделирование

Статья в выпуске: 3 т.8, 2015 года.

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We consider σ-harmonic mappings, that is mappings U whose components ui solve a divergence structure elliptic equation div(σui)=0, for i=1,...,n. We investigate whether, with suitably prescribed Dirichlet data, the Jacobian determinant can be bounded away from zero. Results of this sort are required in the treatment of the so-called hybrid inverse problems, and also in the field of homogenization studying bounds for the effective properties of composite materials.

Elliptic equations, beltrami operators, hybrid inverse problems, composite materials

Короткий адрес: https://sciup.org/147159328

IDR: 147159328   |   DOI: 10.14529/mmp150302

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