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**Recovery of a rapidly oscillating source in the heat equation from solution asymptotics.**
*(English.
Russian original)*
Zbl 06864318

Comput. Math. Math. Phys. 57, No. 12, 1908-1918 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 1955-1965 (2017).

Summary: 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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\textit{P. V. Babich} et al., Comput. Math. Math. Phys. 57, No. 12, 1908--1918 (2017; Zbl 06864318); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 1955--1965 (2017)

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### References:

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