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Asymptotic expansions for transmission eigenvalues for media with small inhomogeneities
| Content Provider | Scilit |
|---|---|
| Author | Cakoni, Fioralba Moskow, Shari |
| Copyright Year | 2013 |
| Description | Journal: Inverse Problems We consider the transmission eigenvalue problem for an inhomogeneous medium containing a finite number of diametrically small inhomogeneities of different refractive index. We prove a convergence result for the transmission eigenvalues and eigenvectors corresponding to media with small homogeneities as the diameter of small inhomogeneities goes to zero. In addition we derive rigorously a formula for the perturbations in the real transmission eigenvalues caused by the presence of these small inhomogeneities. |
| Related Links | http://iopscience.iop.org/0266-5611/29/10/104014/pdf/0266-5611_29_10_104014.pdf |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/29/10/104014 |
| Journal | Inverse Problems |
| Issue Number | 10 |
| Volume Number | 29 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2013-10-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Eigenvalue Problem Transmission Eigenvalues Small Inhomogeneities Inhomogeneous Medium Small Homogeneities Diametrically Small |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |