scholarly journals Normal forms of linear second order partial differential equations on the plane

2018 ◽  
Vol 61 (11) ◽  
pp. 1947-1962 ◽  
Author(s):  
Alexey Davydov
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Normal Forms ◽  
Second Order ◽  
Partial Differential

Series expansions for monogenic functions in Clifford algebras and their application

2020 ◽  
Vol 17 (3) ◽  
pp. 365-371
Author(s):  
Anatoliy Pogorui ◽  
Tamila Kolomiiets
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Vector Space ◽  
Clifford Algebra ◽  
Clifford Algebras ◽  
Monogenic Function ◽  
Second Order ◽  
Series Expansions ◽  
Monogenic Functions ◽  
Partial Differential

This paper deals with studying some properties of a monogenic function defined on a vector space with values in the Clifford algebra generated by the space. We provide some expansions of a monogenic function and consider its application to study solutions of second-order partial differential equations.

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