DETERMINATION OF DENSITY OF ELLIPTIC POTENTIAL
Kalmenov T.S. Les A.K. Iskakova U.A.
2021L.N. Gumilyov Eurasian National University
Eurasian Mathematical Journal
2021#12Issue 443 - 52 pp.
In this paper, using techniques of finding boundary conditions for the volume (Newton) potential, we obtain the boundary conditions for the volume potential (Formula Presented) where ε (x, ξ) is the fundamental solution of the following elliptic equation (Formula Presented) Using the explicit boundary conditions for the potential u (x), the density ρ (x) of this potential is uniquely determined. Also, the inverse Sommerfeld problem for the Helmholtz equation is considered.
Fundamental solution of helmholtz equation , Helmholtz potential , Inverse problem , Potential boundary condition , Potential density
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Institute of Mathematics and Mathematical Modeling, 125 Pushkin St, Almaty, 050010, Kazakhstan
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Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
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