| dbo:abstract |
In mathematics, a Petrovsky lacuna, named for the Russian mathematician I. G. Petrovsky, is a region where the fundamental solution of a linear hyperbolic partial differential equation vanishes. They were studied by who found topological conditions for their existence. Petrovsky's work was generalized and updated by Atiyah, Bott, and Gårding . (en) 彼得羅夫斯基空白（Petrovsky lacuna）得名自俄羅斯數學家伊萬·格奧爾基耶維奇·彼得羅夫斯基，是一個線性雙曲線偏微分方程中，其為零的區域。 這是由Petrovsky （）提出，他找出了此區域存在的拓撲條件。 彼得羅夫斯基的研究後來已由Atiyah, Bott, and Gårding （, ）擴展及更新。 (zh) |
| dbo:thumbnail |
wiki-commons:Special:FilePath/Schlierenfoto_Mach_1-2_Pfeilflügel_-_NASA.jpg?width=300 |
| dbo:wikiPageExternalLink |
http://mi.mathnet.ru/eng/msb/v59/i3/p289 http://www.numdam.org/item%3Fid=SB_1966-1968__10__87_0 |
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18898515 (xsd:integer) |
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2474 (xsd:nonNegativeInteger) |
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1064343821 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Hyperbolic_partial_differential_equation dbc:Hyperbolic_partial_differential_equations dbr:Fundamental_solution dbr:Acta_Mathematica dbc:Shock_waves dbr:Séminaire_Nicolas_Bourbaki dbr:Société_Mathématique_de_France dbr:I._G._Petrovsky dbr:Topological dbr:File:Schlierenfoto_Mach_1-2_Pfeilflügel_-_NASA.jpg |
| dbp:last |
Bott (en) Atiyah (en) Gårding (en) |
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dbt:! dbt:Citation dbt:Harvtxt dbt:Other_uses dbt:Harvs |
| dbp:year |
1970 (xsd:integer) 1973 (xsd:integer) |
| dct:subject |
dbc:Hyperbolic_partial_differential_equations dbc:Shock_waves |
| gold:hypernym |
dbr:Region |
| rdf:type |
yago:Abstraction100002137 yago:Communication100033020 yago:DifferentialEquation106670521 yago:Equation106669864 yago:MathematicalStatement106732169 yago:Message106598915 yago:PartialDifferentialEquation106670866 yago:WikicatHyperbolicPartialDifferentialEquations dbo:Settlement yago:Statement106722453 |
| rdfs:comment |
In mathematics, a Petrovsky lacuna, named for the Russian mathematician I. G. Petrovsky, is a region where the fundamental solution of a linear hyperbolic partial differential equation vanishes. They were studied by who found topological conditions for their existence. Petrovsky's work was generalized and updated by Atiyah, Bott, and Gårding . (en) 彼得羅夫斯基空白（Petrovsky lacuna）得名自俄羅斯數學家伊萬·格奧爾基耶維奇·彼得羅夫斯基，是一個線性雙曲線偏微分方程中，其為零的區域。 這是由Petrovsky （）提出，他找出了此區域存在的拓撲條件。 彼得羅夫斯基的研究後來已由Atiyah, Bott, and Gårding （, ）擴展及更新。 (zh) |
| rdfs:label |
Petrovsky lacuna (en) 彼得羅夫斯基空白 (zh) |
| owl:sameAs |
freebase:Petrovsky lacuna yago-res:Petrovsky lacuna wikidata:Petrovsky lacuna dbpedia-zh:Petrovsky lacuna https://global.dbpedia.org/id/4tmTA |
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wikipedia-en:Petrovsky_lacuna?oldid=1064343821&ns=0 |
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wiki-commons:Special:FilePath/Schlierenfoto_Mach_1-2_Pfeilflügel_-_NASA.jpg |
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wikipedia-en:Petrovsky_lacuna |
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dbr:Ivan_Petrovsky dbr:Lars_Gårding |
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dbr:Lacuna |
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dbr:Petrowsky_lacuna dbr:Lacuna_of_a_hyperbolic_equation |
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dbr:Wave_equation dbr:January_1901 dbr:Ivan_Petrovsky dbr:Lars_Gårding dbr:Michael_Atiyah dbr:Raoul_Bott dbr:Lacuna dbr:Petrowsky_lacuna dbr:Lacuna_of_a_hyperbolic_equation |
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dbr:Ivan_Petrovsky dbr:Lars_Gårding |
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wikipedia-en:Petrovsky_lacuna |
