On some differential equations arising in a time domain inverse scattering problem for a dissipative wave equation
| dc.contributor.author | Wall, D. J. N. | |
| dc.date.accessioned | 2016-03-15T22:46:42Z | |
| dc.date.available | 2016-03-15T22:46:42Z | |
| dc.date.issued | 1990 | en |
| dc.description.abstract | The problem of identification of one spatially varying material property, defined within a slab, from boundary measurements is examined. This inverse problem is described by a functional differential equation. Uniqueness and existence of the solution of this inverse problem and the associated direct problem is proven. Of major importance in any inverse problem are the properties of the operator mapping the boundary measurements to the material property. It is shown that this operator is continuous and differentiable. | en |
| dc.identifier.issn | 0110-537X | |
| dc.identifier.uri | http://hdl.handle.net/10092/11902 | |
| dc.language.iso | en | |
| dc.publisher | University of Canterbury. Dept. of Mathematics and Statistics | en |
| dc.rights | All Rights Reserved | en |
| dc.rights.uri | https://canterbury.libguides.com/rights/theses | |
| dc.subject | Time domain inverse scattering | en |
| dc.subject | wave propagation in inhomogeneous media | en |
| dc.subject | existence and uniqueness of solutions to an inverse problem | en |
| dc.subject | regularity of solutions to an inverse problem | en |
| dc.subject.anzsrc | Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490410 - Partial differential equations | en |
| dc.subject.anzsrc | Field of Research::01 - Mathematical Sciences::0105 - Mathematical Physics | en |
| dc.title | On some differential equations arising in a time domain inverse scattering problem for a dissipative wave equation | en |
| dc.type | Discussion / Working Papers | |
| uc.college | Faculty of Engineering | |
| uc.department | School of Engineering | en |