Operatoren in der Theorie der Lösungsdarstellungen partieller Differentialgleichungen zweiter und höherer Ordnung

Kurt Tomantschger

Operatoren in der Theorie der Lösungsdarstellungen partieller Differentialgleichungen zweiter und höherer Ordnung

Translated title of the contribution: Operators in the Theory of Solution representations of Partial Differential Equations of Second and Higher Order

Kurt Tomantschger

Institute of Analysis and Number Theory (5010)

Research output: Thesis › Habilitation

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.

Translated title of the contribution	Operators in the Theory of Solution representations of Partial Differential Equations of Second and Higher Order
Original language	Multiple languages
Awarding Institution	Graz University of Technology (90000)
Publication status	Published - 1989

Cite this

@phdthesis{776a995b44114805b7079d61df06bac0,

title = "Operatoren in der Theorie der L{\"o}sungsdarstellungen partieller Differentialgleichungen zweiter und h{\"o}herer Ordnung",

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. ",

author = "Kurt Tomantschger",

year = "1989",

language = "mehrere Sprachen",

type = "Habilitation",

school = "Technische Universit{\"a}t Graz (90000)",

}

TY - THES

T1 - Operatoren in der Theorie der Lösungsdarstellungen partieller Differentialgleichungen zweiter und höherer Ordnung

AU - Tomantschger, Kurt

PY - 1989

Y1 - 1989

N2 - (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.

AB - (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.

M3 - Habilitation

ER -

Operatoren in der Theorie der Lösungsdarstellungen partieller Differentialgleichungen zweiter und höherer Ordnung

Abstract

Fingerprint

Cite this