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Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement
- Publication Year :
- 2019
-
Abstract
- We consider the inverse problem of determining different type of information about a diffusion process, described by ordinary or fractional diffusion equations stated on a bounded domain, like the density of the medium or the velocity field associated with the moving quantities from a single boundary measurement. This properties will be associated with some general class of time independent coefficients that we recover from a single Neumann boundary measurement, on some parts of the boundary, of the solution of our diffusion equation with a suitable boundary input, located on some parts of the boundary.
- Subjects :
- Mathematics - Analysis of PDEs
35R30, 35R11, 58J99
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1907.02430
- Document Type :
- Working Paper