{"title":"退化抛物型弱解的局部Hölder正则性","authors":"Corina Karim","doi":"10.1063/1.5139145","DOIUrl":null,"url":null,"abstract":"We study the local Holder regularity of weak solutions for evolutional p-Laplacian systems in the degenerate case. Here, we treat the local Holder regularity of weak solutions using the intrinsic scaling method. The main result is to show the validity of theorem of local Holder regularity of weak solutions for degenerate case only.We study the local Holder regularity of weak solutions for evolutional p-Laplacian systems in the degenerate case. Here, we treat the local Holder regularity of weak solutions using the intrinsic scaling method. The main result is to show the validity of theorem of local Holder regularity of weak solutions for degenerate case only.","PeriodicalId":209108,"journal":{"name":"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Local Hölder regularity of weak solutions for degenerate parabolic type\",\"authors\":\"Corina Karim\",\"doi\":\"10.1063/1.5139145\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the local Holder regularity of weak solutions for evolutional p-Laplacian systems in the degenerate case. Here, we treat the local Holder regularity of weak solutions using the intrinsic scaling method. The main result is to show the validity of theorem of local Holder regularity of weak solutions for degenerate case only.We study the local Holder regularity of weak solutions for evolutional p-Laplacian systems in the degenerate case. Here, we treat the local Holder regularity of weak solutions using the intrinsic scaling method. The main result is to show the validity of theorem of local Holder regularity of weak solutions for degenerate case only.\",\"PeriodicalId\":209108,\"journal\":{\"name\":\"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/1.5139145\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5139145","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Local Hölder regularity of weak solutions for degenerate parabolic type
We study the local Holder regularity of weak solutions for evolutional p-Laplacian systems in the degenerate case. Here, we treat the local Holder regularity of weak solutions using the intrinsic scaling method. The main result is to show the validity of theorem of local Holder regularity of weak solutions for degenerate case only.We study the local Holder regularity of weak solutions for evolutional p-Laplacian systems in the degenerate case. Here, we treat the local Holder regularity of weak solutions using the intrinsic scaling method. The main result is to show the validity of theorem of local Holder regularity of weak solutions for degenerate case only.
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