Browsing by Author "Guzman Adan, Ali"

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    Boundary Value Problems for the Cimmino System Via Quaternionic Analysis
    (Elsevier Science Inc, 2012) Abreu Blaya, Ricardo; Bory Reyes, Juan; Guzman Adan, Ali; Schneider, Baruch
    In this paper, we study a class of boundary value problems for a first order linear partial differential equation (all of whose solutions are harmonic functions), which is called the Cimmino system. With the help of the one-to-one correspondence between the theory of quaternion valued hyperholomorphic functions and that of Cimmino system's solutions, necessary and sufficient conditions for the solvability of the non-homogeneous Cimmino system coupled by the boundary conditions are derived and its general solution is explicitly described. (C) 2012 Elsevier Inc. All rights reserved.