On boundary value problems of neumann type for the dirac operator in a half space of

References

• Brackx , F. , Delanghe , R. and Sommen , F. 1982 . Clifford Analysis , London : Pitman .
   Google Scholar
• Bergehr , H. and Xu , Zhenyuan . 1992 . Nonlinear half-Dirichlet problems for first order elliptic equations in the unit ball of . Appl Anal , 45 : 3 – 18 .
   Google Scholar
• Chisholm , J.S.R. 1986 . Clifford Algebras and their Applications in Mathematical Physics , Edited by: Common , A.K. Dordrecht : D. Reidel Publ .
   Google Scholar
• Delanghe , R. , Sommen , F. and Xu , Zhenyuan . 1990 . Half-Dirichlet problems for powers of the Dirac operator in the unit ball of . Bull Soc Math Belg , 42 ( 3 ) : 409 – 429 .
   Google Scholar
• Gilbert , R.P and Buchanan , J.L. 1983 . First Order Elliptic Systems: A Function Theoretic Approach , New York : Acadmic Press .
   Google Scholar
• Gurlebeck , K. and Sproßig , W. 1989 . Quaternionic Analysis and Elliptic Boundary Vahie Problems , Vol. 56 , Berlin : Akademic-Verlag .
   Google Scholar
• Hile , G.N. 1972 . “ Hypercomplex Function Theory Applied to Partial Differential Equations ” . In PhD. thesis , Bloomington, IN : Indiana Univ .
   Google Scholar
• Hile , G.N and Lounesto , P. 1990 . Matrix representations of Clifford algebras . Linear Algebra Appl , 128 : 51 – 63 .
   Web of Science ®Google Scholar
• Hestenes , D. and Sobezyk , G. 1984 . Clifford Algebra to Geometric Calculas , Dordrecht : Reidel .
   Google Scholar
• Kellogg , O.D. 1954 . Foundations of Potential Theory , New York : Dover .
   Google Scholar
• Micali , A. 1992 . Clifford Algebras and their Applications in Mathematical Physics , Edited by: Boudet , R. and Helmstetter , J. Dordrecht : Kluwer Academic Publ . Boston/London
   Google Scholar
• Porteous , I.R. 1969 . Topological Geometry , London : Van Nostrand .
   Google Scholar
• Ruben , G.F . 1982 . Green' Functions , Cambridge Univ Press . 2nd ed
   Google Scholar
• Sobolev , S.L. 1964 . Partial Differential Equations of Mathematical Physics , Oxford : Pergamon Press .
   Google Scholar
• Stein , E.M. and Weiss , G. 1975 . Introduction to Fourter Analysis on Euclidean Spaces , Princeton Univ Press .
   Google Scholar
• Xu , Z . 1989 . On boundary value problems of Neumann type for hypercomplex function with values in a clifford algebra . Rend Circolo Math di Palermo , 22 : 213 – 226 . Series II
   Google Scholar
• Xu , Z. 1990 . On linear and nonlinear Riemann-Hilbert problems for regular function with values in a Clifford algebra . Chinese Ann of Math , 11B ( 3 ) : 349 – 358 .
   Google Scholar
• Xu , Z. , Chen , J. and Zhang , W. 1990 . A harmonic conjugate of the Poisson kernal and boundary value problem for monogenic functions in the unit ball of . Simon Stevin , 64 ( 2 ) : 187 – 201 .
   Google Scholar
• Xu , Z. and Zhou , C. 1993 . On boundary value problems of Riemann-Hilbert type for monogenic functions ina half space of . Complex Variables , 22 ( 2 ) : 181 – 193 .
   Google Scholar