https://orcid.org/0000-0002-7238-9559
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Abstract
The question on asymptotic representations of Green's function for classical boundary value problems for second-order elliptic equations depending on a complex parameter is considered. The equations are defined either in a domain with a compact boundary or in the whole space or the half-space. The main asymptotic term is written out. The results can be applied for the study of some inverse problems of recovering point sources in heat and mass transfer problems.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
The first author is supported by Mathematical Center in Akademgorodok with the Ministry of Science and Higher Education of the Russian Federation [grant number 075-15-2019-1613]. The second author is supported by the Russian Foundation for basic research [grant number 18-01-00620].