{“状态”:“确定”,“消息类型”:“工作”,“信息版本”:“1.0.0”,“邮件”:{“索引”:{“日期-部件”:[[2024,5,21]],“日期-时间”:“2024-05-21T11:49:28Z”,“时间戳”:1716292168947},“参考-计数”:23,“出版商”:“Hindawi Limited”,“许可证”:[{“开始”:{“日期-零件”:[2014,1,1]],”日期-时间“:”2014-01T00:00:00 Z“,”时间戳“:1388534400000},“content-version”:“unspecified”,“delay-in-days”:0,“URL”:“http://\/creativecommons.org\/licenses\/by\/3.0\/”}],“funder”:[{“DOI”:“10.13039\/501100009610”,“name”:“FONDECYT”,“DOI-asserted-by”:“crossref”,”award“:[”1130554“,”MECESUP2 PUC0711“]}],”content-domain“:{“domain”:[],“crossmark-restriction”“:false},”短容器标签“:[“国际数学与数学科学杂志”],“published-print”:{“date-parts”:[[2014]]},“abstract”:“这项工作的目的是证明形式方程的存在性和正则性f<\/mml:mi>(<\/mml:mo>\u0394<\/mml:mi>)<\/mml:mo>u<\/mml:mi>=<\/mml:mo>U<\/mml:mi>(<\/mml:mo>x<\/mml:mi>,<\/mml:mo>u<\/mml:mi>(<\/mml:mo>x<\/mml:mi>)<\/mml:mo><\/mml:mrow>)启用\u211d<\/mml:mi>n<\/mml:mi><\/mml:msup><\/mml:mrow><\/mml:math>,其中f<\/mml:mi>是一个可测函数,它满足椭圆性和\u0394代表上的拉普拉斯算子\u211d<\/mml:mi>n<\/mml:mi><\/mml:msup>。在这里,我们定义了函数类f<\/mml:mi><\/mml:mrow><\/mml:math>属于Hilbert空间,我们将在该空间中找到该方程的解。我们还给出了f<\/mml:mi>(<\/mml:mo>\u0394<\/mml:mi>)解释如何理解此运算符<\/jats:p>“,”DOI“:”10.1155\/2014\/656959“,”type“:”journal-article“,”created“:{”date-parts“:[[2014,5,8]],”date-time“:”2014-05-08T21:22Z“,”timestamp“:1399584082000},”page“:“2014”,“作者”:[{”给定“:“Mauricio”,“family”:“Bravo Vera”,“sequence”:“first”,“affiliation”:[{“name”:“Departamento de Matem\u00e1tica y Ciencia de la Computaci\u00f3n,智利圣地亚哥大学,Casilla 307,Correo 2,Santiago,Chile”}]],“member”:“98”,“reference”:[}“key”:“1”,“doi-asserted by”:“publisher”,“doi”:“10.1016\/j.nuclphysb。2010.11.016“},{”键“:”2“,”doi-asserted-by“:”publisher“,”doi“:”10.1088\/1126-6708\/2007\/04\/056“},{“key”:“3”,“doi-assert-by”:“publisher”,“doi”:“10.1088\\1126-6708\/2008\/02\/08”},}“issue”:“12,article 022”,“key“:”4“,”year“:”2008 ted-by“:”publisher“,”doi“:”10.1103\/PhysRevD.76.126001“},{”key“:”7“,”doi-asserted-by“:”publisher“,”doi“:”10.1016\/j.physletb.2008.03.024“},{“key”:“8”,“doi-assert-by”:“publisher”,“doi”:“10.1007\/s1122-008-0139-z”},“key“:”17“,”doi-assered-by“:”publisher“,”doi“:,“volume-title”:“String field theory”,“year”:“2009”},{“key”:“21”,“doi-asserted-by”:“publisher“,”DOI“:”10.1070\/IM2005v069n03ABEH000536“},{“key”:“22”,“DOI-asserted-by”:“publisher”,“DOI”:“10.1023\/B:TAMP.000018447.02723.29”},}“keys”:“23”,“year”:“1994”}\/0550-3213(86)90155-0“,”卷“:”268“,”年份“:”1986“,”期刊标题“:”核物理B“},{“key“:“5”,“volume”:“41”,“year”:“2008”,“journal-title”:“journal of Physics A:Mathematical and Theoryal”},{“issue”:“10”,“key”:”9“,“first page”::“34”,“卷”:“4”,“年份”:“2000”,“journal-ttitle”:《高能物理杂志》},}“key“11”,“first-pages”:“59”,“volume”:“40”,“year”:”:“2009”,“日记标题”:“Acta Physica Polonica B“},{”问题“:”1-2“,”密钥“:”10“,”doi-asserted-by“:”crossref“,”first page“:”300“,”doi“:”10.1016\/S0550-3213(00 13“,”doi-asserted-by“:”publisher“,”doi“:”10.1063\/1.3496396“},{”key“:”14“,”doi-asserted-by“:”publisher“,”doi“:”10.1007\/s11785-009-0043-z“},{“key”:“25”,“doi-assert-by”:“publisher”,“doi”:“10.1090\/S0002-9939-1987-0877040-5”},“key“:”18“,“year”:“2010”}],“container-title”:[“International Journal of Mathematics and Mathematical Sciences”],“original title”:[],“language”:“en”,“link”:[{“URL”:“”http:\/\/downloads.hindawi.com/journals\/ijmms\/2014\/656959.pdf“,”content-type“:”application\/pdf“,”内容版本“:”vor“,”intended-application“:”text-mining“},{”URL“:”http://\/dowwnloads.hindawi.com/jordars\/ijmmas\/2014\/656959.xml“,”content-type”:“application//xml”,”content-version“:”vol“,“intended-application”:“text-mining'”},{“URL”:“http://\/downloads.hindawi.com/journals\/ijmms\/2014\/656959.pdf“,”content-type“:”unspecified“,”content-version“:”vor“,”intended-application“:”similarity-checking“}],”deposed“:{”date-parts“:[[2020,5,11]],”date-time“:“2020-05-11T23:02:50Z”,”timestamp“:158923817000},”score“:1,”resource“:{“primary”:{“URL”:“http://www.hindawi.com/journals\/ijmms\/2014\/656959\/“}},”副标题“:[],”短标题“:[],”已发布“:{”日期部分“:[[2014]]},“references-count”:23,“alternative-id”:[“656959”,“656959]”],“URL”:“http://\/dx.doi.org\/10.1155\/2014\/656959 1-1712“,”1687-0425“],“ISSN-type”:[{“value”:“0161-1712”,“type”:“print”},{“value”:“1687-0425“,”type“:”electronic“}],”subject“:[],”published“:{”date-parts“:[[2014]]}}