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Bestimmung und Anwendung von Vekua-Resolventen. (German) Zbl 0376.35008


MSC:

35G20 Nonlinear higher-order PDEs
35F05 Linear first-order PDEs
30G20 Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.)
35A20 Analyticity in context of PDEs
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References:

[1] Bauer, K. W.: Über Differentialgleichungen der FormF(z, z)w z z ?n(n+1)w=0. Mh. Math.75, 1-13 (1971). · Zbl 0207.41001 · doi:10.1007/BF01305972
[2] Bauer, K. W.: On a differential equation in the theory of pseudoholomorphic functions. (Erscheint in Kürze.)
[3] Bauer, K. W., undSt. Ruscheweyh: Ein Darstellungssatz für eine Klasse pseudoanalytischer Funktionen. Ber. Ges. Math. Datenv., Bonn75, 3-15 (1973). · Zbl 0263.30039
[4] Bitsadze, A. V., andV. I. Pa?kovskiî: On the theory of the Maxwell-Einstein equations. Dokl. Akad. Nauk SSSR216, 762-764 (1974). · Zbl 0298.35052
[5] Ernst, F. J.: New formulation of the axially symmetric gravitational field problem, I: Phys. Rev.167, 1175-1178 (1968); II: Phys. Rev.168, 1415-1417 (1968). · doi:10.1103/PhysRev.167.1175
[6] Jank, G., andK.-J. Wirths: Function theoretic methods in differential equations. In: Generalized Maximum Principles in Certain Classes of Pseudoanalytic Functions.R. P. Gilbert andR. Weinacht (Ed.): Research Notes Math. 8, 63-67. London-San Francisco-Melbourne: Pitman Publishing. 1976.
[7] Koohara, A.: Representation of pseudo-holomorphic functions of several complex variables. J. Math. Soc. Japan27, 257-277 (1976). · Zbl 0317.32009 · doi:10.2969/jmsj/02820257
[8] Vekua, I. N.: New Methods for Solving Elliptic Equations. Amsterdam-New York: North Holland Publ. Co., J. Wiley Sons, Inc. 1968. · Zbl 0146.34301
[9] Warnecke, G.: Über die Darstellung von Lösungen der partiellen Differentialgleichung (1+?zz)2 w zz =???e 2w . Bonner Math. Schriften34, 1-75 (1968).
[10] Whittacker, E. T., andG. N. Watson: A Course of Modern Analysis. Cambridge: University Press. 1958.
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