Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations
We construct the global in time Mandelbrot transformation relating the solution of the transport equation at nonsingular points for the tunnel in the sense of Maslov LPDE to the global generalized deltashock wave type solution to the continuity equation in the discontinuous velocity field.
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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2008 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124296 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations / V.G. Danilov // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 46-58. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862532360834121728 |
|---|---|
| author | Danilov, V.G. |
| author_facet | Danilov, V.G. |
| citation_txt | Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations / V.G. Danilov // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 46-58. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | We construct the global in time Mandelbrot transformation relating the solution of the transport equation at nonsingular points for the tunnel in the sense of Maslov LPDE to the global generalized deltashock wave type solution to the continuity equation in the discontinuous velocity field.
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| first_indexed | 2025-11-24T04:24:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124296 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-11-24T04:24:58Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Danilov, V.G. 2017-09-23T16:48:53Z 2017-09-23T16:48:53Z 2008 Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations / V.G. Danilov // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 46-58. — Бібліогр.: 10 назв. — англ. 1810-3200 2000 MSC. 35C20, 35D05, 35C10 https://nasplib.isofts.kiev.ua/handle/123456789/124296 We construct the global in time Mandelbrot transformation relating the solution of the transport equation at nonsingular points for the tunnel in the sense of Maslov LPDE to the global generalized deltashock wave type solution to the continuity equation in the discontinuous velocity field. This work was supported by the Russian Foundation for Basic Research under grant 05-01-00912 and DFG project 436 RUS 13/895/0-1. en Інститут прикладної математики і механіки НАН України Український математичний вісник Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations Article published earlier |
| spellingShingle | Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations Danilov, V.G. |
| title | Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations |
| title_full | Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations |
| title_fullStr | Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations |
| title_full_unstemmed | Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations |
| title_short | Global Mandelbrot transformation for Maslov tunnel pseudodifferential equations |
| title_sort | global mandelbrot transformation for maslov tunnel pseudodifferential equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124296 |
| work_keys_str_mv | AT danilovvg globalmandelbrottransformationformaslovtunnelpseudodifferentialequations |