The cauchy-Kovalevska theorem for pseudoholomorphic functions in the sense of L. Bers
Titel:
The cauchy-Kovalevska theorem for pseudoholomorphic functions in the sense of L. Bers
Auteur:
Tutschke, Wolfgang Withalm, Claudio
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 1 (1983) nr. 4 pagina's 389-393
Jaar:
1983-06
Inhoud:
It is well-known, that the derivative of a holomorphic function is holomorphic, again. In the first part of this paper coefficients A0, B0, C0, will be determined, such that[image omitted] defines a (F, G)-pseudoholomorphic function in the sense of L. Bers, if w itself possesses this property (see [1, 2]). In the second part for time-dependent pseudoholomorphic functions w = w(z, t) the initial-value problem [image omitted] will be solved. In the case (F, G) = (li) the obtained result is identic with the classical Cauchymdash;Kovalevska theorem (in the linear case).
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