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https://open.uns.ac.rs/handle/123456789/25705
Title: | Division problem and partial differential equations with constant coefficients in Colombeau's space of new generalized functions | Authors: | Nedeljkov Marko Pilipović Stevan Scarpalezos Dimitris |
Issue Date: | 1996 | Journal: | Monatshefte fur Mathematik | Abstract: | We study the problem of division in Colombeau's space of new generalized functions in the associated sense: more precisely we solve the equation of the form F·G ≈ pH with adequate assumptions on F. By using the Fourier transformation we construct, by simple methods, the solution in the p-associated sense of a partial differential equation with constant coefficients. | URI: | https://open.uns.ac.rs/handle/123456789/25705 | ISSN: | 0026-9255 1436-5081 |
DOI: | 10.1007/BF01297767 |
Appears in Collections: | PMF Publikacije/Publications |
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