Abstract
(I) Transformation of linear partial differential equations (DE) with elliptical type of order 2 into the complex. This creates formally hyperbolic DE, which can be solved easier. (Real and imaginary part of the complex solutions are solutions of the elliptical DE).
1) Derivation of solutions with
a) Integral operators of S.Bergman, M.Eichler, I.N.Vekua
b) Differential operators of K.W.Bauer, E.Peschl
2) Transformation laws for generating functions of Bergman.
(II) Introduction of new differential- and integral repesentations for partial DE with more variables than 2 and higher order.
1) Derivation of solutions with
a) Integral operators of S.Bergman, M.Eichler, I.N.Vekua
b) Differential operators of K.W.Bauer, E.Peschl
2) Transformation laws for generating functions of Bergman.
(II) Introduction of new differential- and integral repesentations for partial DE with more variables than 2 and higher order.
| Titel in Übersetzung | Operators in the Theory of Solution representations of Partial Differential Equations of Second and Higher Order |
|---|---|
| Originalsprache | mehrere Sprachen |
| Gradverleihende Hochschule |
|
| Publikationsstatus | Veröffentlicht - 1989 |