Group Analysis of Differential Equations and Generalized Functions
نویسندگان
چکیده
منابع مشابه
Group Analysis of Differential Equations and Generalized Functions
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 equations, symmetries of classical solutions...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2000
ISSN: 0036-1410,1095-7154
DOI: 10.1137/s003614109833450x