Geodesic
Recovery of a rapidly oscillating source in the heat equation from solution asymptotics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 12, pp. 1955-1965 
P. V. Babich; V. B. Levenshtam; S. P. Prika. Recovery of a rapidly oscillating source in the heat equation from solution asymptotics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 12, pp. 1955-1965. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a2/
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     author = {P. V. Babich and V. B. Levenshtam and S. P. Prika},
     title = {Recovery of a rapidly oscillating source in the heat equation from solution asymptotics},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Four problems are solved in which a high-frequency source in the one-dimensional heat equation with homogeneous initial-boundary conditions is recovered from partial asymptotics of its solution. It is shown that the source can be completely recovered from an incomplete (two-term) asymptotic representation of the solution. The formulation of each source recovery problem is preceded by constructing and substantiating asymptotics of the solution to the original initial-boundary value problem.

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