An inverse source problem for the heat equation and the enclosure method

Details An inverse source problem for the heat equation and the enclosure method An inverse source problem for the heat equation and the enclosure method

2006-11-07

arxiv.org/abs/math/0611163v1

Inverse Problems, 23(2007), 183-202

Mathematics

Analysis of PDEs

23pages

Scientific paper

10.1088/0266-5611/23/1/009

An inverse source problem for the heat equation is considered. Extraction
formulae for information about the time and location when and where the unknown
source of the equation firstly appeared are given from a single lateral
boundary measurement. New roles of the plane progressive wave solutions or
their complex versions for the backward heat equation are given.

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