New Examples of Irreducible Local Diffusion of Hyperbolic PDE's
Local diffusion of strictly hyperbolic higher-order PDE's with constant coefficients at all simple singularities of corresponding wavefronts can be explained and recognized by only two local geometrical features of these wavefronts. We radically disprove the obvious conjecture extending this fa...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210601 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | New Examples of Irreducible Local Diffusion of Hyperbolic PDE's. Victor A. Vassiliev. SIGMA 16 (2020), 009, 21 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Vassiliev, Victor A. 2025-12-12T10:37:40Z 2020 New Examples of Irreducible Local Diffusion of Hyperbolic PDE's. Victor A. Vassiliev. SIGMA 16 (2020), 009, 21 pages 1815-0659 2020 Mathematics Subject Classification: 35L67; 58K05; 32-04 arXiv:1909.13211 https://nasplib.isofts.kiev.ua/handle/123456789/210601 https://doi.org/10.3842/SIGMA.2020.009 Local diffusion of strictly hyperbolic higher-order PDE's with constant coefficients at all simple singularities of corresponding wavefronts can be explained and recognized by only two local geometrical features of these wavefronts. We radically disprove the obvious conjecture extending this fact to arbitrary singularities: namely, we present examples of diffusion at all non-simple singularity classes of generic wavefronts in odd-dimensional spaces, which are not reducible to diffusion at simple singular points. This work was supported by Russian Science Foundation grant 16-11-10316. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications New Examples of Irreducible Local Diffusion of Hyperbolic PDE's Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's |
| spellingShingle |
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's Vassiliev, Victor A. |
| title_short |
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's |
| title_full |
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's |
| title_fullStr |
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's |
| title_full_unstemmed |
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's |
| title_sort |
new examples of irreducible local diffusion of hyperbolic pde's |
| author |
Vassiliev, Victor A. |
| author_facet |
Vassiliev, Victor A. |
| publishDate |
2020 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Local diffusion of strictly hyperbolic higher-order PDE's with constant coefficients at all simple singularities of corresponding wavefronts can be explained and recognized by only two local geometrical features of these wavefronts. We radically disprove the obvious conjecture extending this fact to arbitrary singularities: namely, we present examples of diffusion at all non-simple singularity classes of generic wavefronts in odd-dimensional spaces, which are not reducible to diffusion at simple singular points.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/210601 |
| citation_txt |
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's. Victor A. Vassiliev. SIGMA 16 (2020), 009, 21 pages |
| work_keys_str_mv |
AT vassilievvictora newexamplesofirreduciblelocaldiffusionofhyperbolicpdes |
| first_indexed |
2025-12-17T12:03:35Z |
| last_indexed |
2025-12-17T12:03:35Z |
| _version_ |
1851756920248991744 |