Necessary and Sufficient Conditions for Associated Pairs in Quaternionic Analysis
This criterion makes it possible to construct the operator L for which the initial problem (1),(2) is solvable for an arbitrary initial regular function ϕ and the solution is also regular for each t.
Unable to display preview. Download preview PDF.
- F. Brackx, R. Delanghe and F. Sommen, Clifford Algebra, Research Notes in Math., Pitman, London, 1982.Google Scholar
- H. Florian, N. Ortner, F.J. Schnitzer and W. Tutschke, Functional-analytic and Comlplex Methods, their Interactions and Applications to Partial Differential Equations, World Scientific, Singapore, 2001.Google Scholar
- E. Obolashvili, Partial Differential Equations in Clifford Analysis, Addison Wesley Longman, Harlow, 1988.Google Scholar
- Le Hung Son and Nguyen Thanh Van, Differential Associated Operators in a Clifford Analysis and Their Applications, Complex Analysis and its Applications, Procced-ings of 15th ICFIDCAA, Osaka Municipal Universities Press, Vol. 2(2), 325–332 (2007).Google Scholar
- W. Tutschke, Solution of Initial Value Problems in Classes of Generalized Analytic Functions, Teubner Leipzig and Springer Verlag, 1989.Google Scholar
- W. Tutschke, Associated Partial Differential Operators-Applications to well-and ill-posed Problems, Contained in , 373–383.Google Scholar
- Nguyen Thanh Van, First Order Differential Operators Transforming Regular Function of Quarternionic Analysis into Themselves, Method of Complex and Clifford Analysis, SAS International Publications, Delhi, 363–367 (2006).Google Scholar
- Nguyen Thanh Van, First Order Differential Operators Associated to the Cauchy-Riemann Operator in a Clifford Algebra, Accepted for Publication in the Proceedings of the 14th ICFIDCAA, Hue, Vietnam (2006).Google Scholar