A boundary value problem for monogenic functions in parameter-depending Clifford algebras

2011 ◽  
Vol 56 (1-4) ◽  
pp. 113-118 ◽  
Author(s):  
Wolfgang Tutschke ◽  
Carmen Judith Vanegas
Keyword(s):  
Boundary Value Problem ◽  
Clifford Algebras ◽  
Boundary Value ◽  
Monogenic Functions

scholarly journals About the Dirichlet Boundary Value Problem using Clifford Algebras

2018 ◽  
Vol 15 ◽  
pp. 8098-8119
Author(s):  
Johan Ceballos
Keyword(s):  
Dirichlet Problem ◽  
Boundary Value Problem ◽  
Clifford Algebras ◽  
Dirichlet Boundary ◽  
Relevant Literature ◽  
Monogenic Functions ◽  
Dirichlet Boundary Value Problem ◽  
Dirichlet Problems ◽  
Initial Value ◽  
Do So

This paper reviews and summarizes the relevant literature on Dirichlet problems for monogenic functions on classic Clifford Algebras and the Clifford algebras depending on parameters on. Furthermore, our aim is to explore the properties when extending the problem to and, illustrating it using the concept of fibres. To do so, we explore ways in which the Dirichlet problem can be written in matrix form, using the elements of a Clifford's base. We introduce an algorithm for finding explicit expressions for monogenic functions for Dirichlet problems using matrices in Finally, we illustrate how to solve an initial value problem related to a fibre.

scholarly journals A Boundary Value Problem for Hermitian Monogenic Functions

2008 ◽  
Vol 2008 ◽  
pp. 1-7 ◽  
Author(s):  
Ricardo Abreu Blaya ◽  
Juan Bory Reyes ◽  
Dixan Peña Peña ◽  
Frank Sommen
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Monogenic Functions

scholarly journals Monogenic functions in the biharmonic boundary value problem

2015 ◽  
Vol 39 (11) ◽  
pp. 2939-2952 ◽  
Author(s):  
Serhii V. Gryshchuk ◽  
Sergiy A. Plaksa
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Monogenic Functions
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