Initial value problems in Clifford-type analysis

Abstract:

We consider an initial value problem of type where t is the time, x ∈ ℝn+1 and u is a Clifford-type algebra-valued function, satisfying in t = 0 the equation, λ&inf>j&/inf>(x) ∈ ℝ for all j. We will solve this problem using the theory of associated spaces. In order to do that, we give sufficient conditions on the coefficients of the operators ℱ and D, when for A(i)(x) ∈ ℝ or A(i)(x) belonging to a Clifford-type algebra, such that these operators form an associated pair. © 2013 Copyright Taylor and Francis Group, LLC.

Año de publicación:

2013

Keywords:

• associated operators
• Clifford-type algebra depending on parameters
• Initial value problem

Fuente:

scopus