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Applicable Analysis
An International Journal
Volume 78, 2001 - Issue 3-4
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Original Articles

How to solve smooth nonlinear pdes in algebras of generalized functionswith dense singularities

Pages 355-378 | Received 25 Nov 2000, Published online: 23 Jun 2010

References

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  • Rosinger , E.E. 1997 . “ Nonprojectable Lie Symmetries of nonlinear PDEs and a negative solution to Hilbert' fifth problem ” . In Modern Group Analysis 6 , Edited by: Ibragimov , N.H. and Mahomed , F.M. 21 – 30 . New Delhi : New Age Inter. Publ . Proceedings of the International Conference in the New South Africa, Johannesburg, January 1996
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  • Rosinger , E.E. “ Arbitrary Global Lie Group Actions on Generalized Solutions of Nonlinear PDEs and an Answer to Hilbert' Fifth Problem ” . In Nonlinear Theory of Generalized Functions Edited by: Grosser , M. , Hörmann , G. , Kunzinger , M. and Oberguggenberger , M.B. 251 – 265 . New York Research Notes in Mathematics
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  • Rosinger E.E. Dense Singularites and nonlinear PDEs (to appear).
  • Rosinger , E.E. and Rudolph , M. 07-08,1994 . Group invariance of global generalised solutions of nonlinear PDEs: A Dedekind order completion method . Lie Groups and their Applications , 1 ( 1 ) : 203 – 215 .
  • Rosinger , E.E. and Walus , E.Y. 1994 . Group invariance of generalized solutions obtained through the algebraic method . Nonlinearity , 7 : 837 – 859 .
  • Rosinger , E.E. and Walus , E.Y. 07-08,1994 . Group invariance of global generalised solutions of nonlinear PDEs on nowhere dense algebras . Lie Groups and their Applications , 1 ( 1 ) : 216 – 225 .

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