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The stability for the Cauchy problem for elliptic equations
- Source :
- Inverse Problems 25 123004, 2009, (47pp)
- Publication Year :
- 2009
-
Abstract
- We discuss the ill-posed Cauchy problem for elliptic equations, which is pervasive in inverse boundary value problems modeled by elliptic equations. We provide essentially optimal stability results, in wide generality and under substantially minimal assumptions. As a general scheme in our arguments, we show that all such stability results can be derived by the use of a single building brick, the three-spheres inequality.<br />Comment: 57 pages, review article
- Subjects :
- Mathematics - Analysis of PDEs
35R25, 35B60, 35R30, 31A15, 30C62, 30G20
Subjects
Details
- Database :
- arXiv
- Journal :
- Inverse Problems 25 123004, 2009, (47pp)
- Publication Type :
- Report
- Accession number :
- edsarx.0907.2882
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/0266-5611/25/12/123004