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EnglishWe consider sigma-harmonic mappings, that is mappings U whose components u_i solve a divergence structure elliptic equation sigma nabla u_i=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.
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http://hdl.handle.net/11368/2844494| Titolo: | Quantitative Estimates on Jacobians for Hybrid Inverse Problems |
| Autori: | |
| Data di pubblicazione: | 2015 |
| Rivista: | |
| Abstract: | We consider sigma-harmonic mappings, that is mappings U whose components u_i solve a divergence structure elliptic equation sigma nabla u_i=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. |
| Handle: | http://hdl.handle.net/11368/2844494 |
| Digital Object Identifier (DOI): | 10.14529/mmp150302 |
| URL: | http://mmp.vestnik.susu.ac.ru/article/en/346 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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