The Hunt property and unique solvability of the inverse problem of potential theory for one class of generalized Ukawa potentials

DOI10.1007/BF02673056zbMath0918.31002MaRDI QIDQ1288060

V. R. Kireĭtov

Publication date: 10 May 1999

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

inverse problemCoulomb potentialgeneralized Ukawa potentialHunt propertyouter inverse Dirichlet problemPeierls potentials

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

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The multivelocity Peierls potential in the problem of refining the classical fundamental acoustic potential near the source of sound in a homogeneous Maxwellian gas

Cites Work

• The Dirichlet problem and its inverse in a domain with compact regular boundary for the diffusion and Coulomb potentials with corrections
• The stationary translationally invariant Peierls equation in radiative transfer theory in the space of slowly growing distributions, and some properties of the Peierls potential. II
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• What is the Laplace Transform?
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