Group Analysis of Differential Equations and Generalized Functions

Abstract

We present an extension of the methods of classical Lie group analysis of differential equations to equations involving generalized functions (in particular: distributions). A suitable framework for such a generalization is provided by Colombeau’s theory of algebras of generalized functions. We show that under some mild conditions on the differential… (More)
DOI: 10.1137/S003614109833450X

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