{"title":"多元幂级数的可和性，及其在奇异摄动问题和偏微分方程中的应用","authors":"W. Balser","doi":"10.5802/AFST.1104","DOIUrl":null,"url":null,"abstract":"Nous introduisons et considerons une methode de sommabilite de series de puissances en plusieures variables et. nous donnons des applications aux solutions formelles de problemes de perturbations singulieres et aux equations aux derivees partielles. Nous etendons ainsi des resultats de Lutz, Miyake et Schaefke, resp. Balser, pour l'equation de la chaleur variables complexes pour (les cas plus generaux.","PeriodicalId":443021,"journal":{"name":"Engineering Educator: Courses","volume":"117 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Summability of Power Series in Several Variables, with Applications to Singular Perturbation Problems and Partial Differential Equations\",\"authors\":\"W. Balser\",\"doi\":\"10.5802/AFST.1104\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Nous introduisons et considerons une methode de sommabilite de series de puissances en plusieures variables et. nous donnons des applications aux solutions formelles de problemes de perturbations singulieres et aux equations aux derivees partielles. Nous etendons ainsi des resultats de Lutz, Miyake et Schaefke, resp. Balser, pour l'equation de la chaleur variables complexes pour (les cas plus generaux.\",\"PeriodicalId\":443021,\"journal\":{\"name\":\"Engineering Educator: Courses\",\"volume\":\"117 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Educator: Courses\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5802/AFST.1104\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Educator: Courses","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/AFST.1104","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Summability of Power Series in Several Variables, with Applications to Singular Perturbation Problems and Partial Differential Equations
Nous introduisons et considerons une methode de sommabilite de series de puissances en plusieures variables et. nous donnons des applications aux solutions formelles de problemes de perturbations singulieres et aux equations aux derivees partielles. Nous etendons ainsi des resultats de Lutz, Miyake et Schaefke, resp. Balser, pour l'equation de la chaleur variables complexes pour (les cas plus generaux.
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