{"title":"有界区域上的椭圆型偏微分方程组在其边界上的退化","authors":"A. Džhuraev","doi":"10.1080/02781070410001702532","DOIUrl":null,"url":null,"abstract":"In this article we study some elliptic systems of partial differential equations in bounded domains generated by vector fields which degenerate on their boundaries, see also [3] (Dzhuraev, A., 1999, Singular Partial Differential Equations (Boca Raton: Chapman & Hall/CRC)) and [6] (Keldysh, M., 1951, On some cases of degeneracy of elliptic equations on the boundary of the domain. Doklady Academii Nauk SSSR, 77, 181–183 (Russian)).","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On elliptic systems of partial differential equations in bounded domains degenerating on their boundaries\",\"authors\":\"A. Džhuraev\",\"doi\":\"10.1080/02781070410001702532\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we study some elliptic systems of partial differential equations in bounded domains generated by vector fields which degenerate on their boundaries, see also [3] (Dzhuraev, A., 1999, Singular Partial Differential Equations (Boca Raton: Chapman & Hall/CRC)) and [6] (Keldysh, M., 1951, On some cases of degeneracy of elliptic equations on the boundary of the domain. Doklady Academii Nauk SSSR, 77, 181–183 (Russian)).\",\"PeriodicalId\":272508,\"journal\":{\"name\":\"Complex Variables, Theory and Application: An International Journal\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-06-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Variables, Theory and Application: An International Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/02781070410001702532\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02781070410001702532","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On elliptic systems of partial differential equations in bounded domains degenerating on their boundaries
In this article we study some elliptic systems of partial differential equations in bounded domains generated by vector fields which degenerate on their boundaries, see also [3] (Dzhuraev, A., 1999, Singular Partial Differential Equations (Boca Raton: Chapman & Hall/CRC)) and [6] (Keldysh, M., 1951, On some cases of degeneracy of elliptic equations on the boundary of the domain. Doklady Academii Nauk SSSR, 77, 181–183 (Russian)).