What is it about?
We aim at constructing theory of double-layer potentials corresponding to the next fundamental solution. By using some properties of one of Appell’s hypergeometric functions in two variables, we prove limiting theorems and derive integral equations concerning a denseness of double-layer potentials.
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Why is it important?
The double-layer potential plays an important role in solving boundary value problems of elliptic equations. The representation of the solution of the (first) boundary value problem is sought as a double-layer potential with unknown density and an application of certain property leads to a Fredholm equation of the second kind for determining the function
Perspectives
Here, in this publication, we aim at constructing theory of double-layer potentials corresponding to the next fundamental solution . By using some properties of one of Appell’s hypergeometric functions in two variables, we prove limiting theorems and derive integral equations concerning a denseness of double-layer potentials
Tuhtasin Ergashev
Institute of Mathematics
Read the Original
This page is a summary of: Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation II, Complex Variables and Elliptic Equations, May 2019, Taylor & Francis,
DOI: 10.1080/17476933.2019.1583219.
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