Identification of a discontinuous source in the heat equation Academic Article

abstract

• In this paper the feasibility of identification of a discontinuous source term in a parabolic equation is investigated. It is shown that a minimal set of data according to uniqueness of the inverse problem is given by flux measurements in time at two distinct points on the boundary. Besides the uniqueness result iterative regularization schemes are developed. The methods are based on the domain derivative and a general existence theory and a representation of the domain derivative for parabolic equations is derived.

authors

• Rundell, William

published proceedings

• INVERSE PROBLEMS

author list (cited authors)

• Hettlich, F., & Rundell, W.

citation count

• 57

complete list of authors

• Hettlich, F||Rundell, W

publication date

• October 2001

publisher

• IOP Publishing  Publisher

published in

• Inverse Problems  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics

Digital Object Identifier (DOI)

• 10.1088/0266-5611/17/5/315

start page

• 1465

end page

• 1482

volume

• 17

issue

• 5

URL

• http%3A%2F%2Fdx.doi.org%2F10.1088%2F0266-5611%2F17%2F5%2F315