Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations
Valeriy V. Katrakhov, Sergey M. Sitnik
TL;DR
This paper reviews and extends the theory of singular elliptic equations, incorporating original results from two doctoral dissertations, with a focus on transmutation methods and boundary-value problems.
Contribution
It introduces new transmutation methods and boundary-value problem solutions for singular elliptic equations, based on original research by the authors.
Findings
Development of transmutation techniques for singular elliptic equations
New boundary-value problem solutions for singular elliptic equations
Comprehensive review and bibliography of the field
Abstract
The main content of this text is composed from the two doctoral dissertations of V.\,V.~Katrakhov (1989) and S.\,M.~Sitnik (2016). Apart from a detailed review and bibliography the book contains original results of the authors. The text is concluded with brief biographic essay of Valeriy Vyacheslavovich Katrakhov and a detailed bibliography.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · advanced mathematical theories · Differential Equations and Numerical Methods