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Original Articles

Properties of bauer, bergman and bekua operators for elliptic differential equations with complex coefficients

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Pages 71 -76 | Received 27 Mar 1989, Published online: 29 May 2007

References

  • Bauer , K.W. and Ruscheweyh , S. 1980 . Differential Operators for Partial Differential Equations and Function Theoretic Applications, Lecture Notes in Mathematics New York : Springer-Verlag, .
  • Bergman , S. 1969 . Integral Operators in the Theory of Linear Partial Differential Equations, Ergebn. Math. Grenzgeb. , Berlin, New York : Springer-Verlag . Heidelberg
  • Diederich , K. and Remmert , R. 1972 . Funktionentheorie I , Berlin, : Springer-Verlag .
  • Florian , H. and Heersink , R. “ Differential operators in the theory of elliptic equations and boundary value problems ” . In Complex Analysis—Methods, Trends and Applications Edited by: Lanckau , E. and Tutschke , W. 198 – 214 .
  • Florian , H. , üngel , J.P. and Tutschke , W. 1985 . Complex Methods for Linear Elliptic Equations in Formally yperbolic Form,Bericht, Math.-statist. Sektion in der Forschungsges Vol. 258 , Joanneum Graz
  • Gilbert , R.P. 1969 . “ Function Theoretic Methods in Partial Differential Equations ” . In Mathematics in Science and Engineering New York : Academic Press, . London
  • Heersink , R. 1983 . Zur Charakterisierung spezieller Lösungsdarstellungen für elliptische Gleiehungen . Österr Akad d. Wiss. Math.-Nat. Klasse , 192 ( 4-7 ) : 267 – 293 .
  • Heersink , R. 1987 . Lösungsdarstellungen für die Bauer Peschl-Gleichung als lineare Homöomorphismen, . Math. Nachr , 130 : 241 – 244 .
  • Heersink , R. Eigenschaften von Lösungsdarstellungen bei elliptisehen Differentialgleichungen durch Differential-und Integraloperatoren, to appear in Mathematical Research Berlin : Akademie-Verlag, .
  • Heersink , R. “ On the Local Existence of Green's Functions for Elliptic Differential Equations with Complex Coefficients ” . Joanneum Graz. to appear in Berichte d. Math.-statist. Sektion in der Forschungsges
  • Kracht , M. and Kreyszig, , E. 1988 . “ Methods of Complex Analysis in Partial Differential Equations with Applications ” . In John Wiley and Sons, New York
  • Tutschke , W. , Partielle komplexe Differentialgleichungen in einer und mehreren komplexen Variablen,
  • Vekua , I.N. 1968 . New Methods for Solving Elliptic Equations, , Amsterdam : North-Holland Publ. Co .

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