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Loewy Decomposition of Linear Differential Equations

Loewy Decomposition of Linear Differential Equations by Fritz Schwarz
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The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.
Springer Vienna; September 2012
237 pages; ISBN 9783709112861
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Title: Loewy Decomposition of Linear Differential Equations
Author: Fritz Schwarz
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