On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation

Juan Bory Reyes, Ricardo Abreu Blaya, Ramón Martin Rodríguez Dagnino, Boris Aleksandrovich Kats

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

© 2018, Springer International Publishing AG, part of Springer Nature. The Riemann boundary value problem (RBVP to shorten notation) in the complex plane, for different classes of functions and curves, is still widely used in mathematical physics and engineering. For instance, in elasticity theory, hydro and aerodynamics, shell theory, quantum mechanics, theory of orthogonal polynomials, and so on. In this paper, we present an appropriate hyperholomorphic approach to the RBVP associated to the two dimensional Helmholtz equation in R 2 . Our analysis is based on a suitable operator calculus.
Original languageAmerican English
Pages (from-to)483-496
Number of pages433
JournalAnalysis and Mathematical Physics
DOIs
StatePublished - 4 Mar 2019

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Riemann Boundary Value Problem
Shell Theory
Elasticity Theory
Helmholtz Equation
Aerodynamics
Orthogonal Polynomials
Argand diagram
Notation
Quantum Mechanics
Null
Calculus
Physics
Engineering
Curve
Operator
Class

Cite this

Bory Reyes, Juan ; Abreu Blaya, Ricardo ; Rodríguez Dagnino, Ramón Martin ; Kats, Boris Aleksandrovich. / On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation. In: Analysis and Mathematical Physics. 2019 ; pp. 483-496.
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On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation. / Bory Reyes, Juan; Abreu Blaya, Ricardo; Rodríguez Dagnino, Ramón Martin; Kats, Boris Aleksandrovich.

In: Analysis and Mathematical Physics, 04.03.2019, p. 483-496.

Research output: Contribution to journalArticle

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