{"title":"粘度方程的规律性","authors":"P. Albano","doi":"10.6092/ISSN.2240-2829/2255","DOIUrl":null,"url":null,"abstract":"We study the regularity of a viscosity solution of equations of eikonal type in two dierent framework: we consider either the non-degenerate eikonal equation under low regularity assumptions on the data or a possibly degenerate eikonal equation with data having analytic regularity. Furthermore, we describe the structure of the singular set.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"1 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2010-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Regolarità delle soluzioni di viscosità dell'equazione iconale\",\"authors\":\"P. Albano\",\"doi\":\"10.6092/ISSN.2240-2829/2255\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the regularity of a viscosity solution of equations of eikonal type in two dierent framework: we consider either the non-degenerate eikonal equation under low regularity assumptions on the data or a possibly degenerate eikonal equation with data having analytic regularity. Furthermore, we describe the structure of the singular set.\",\"PeriodicalId\":41199,\"journal\":{\"name\":\"Bruno Pini Mathematical Analysis Seminar\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2010-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bruno Pini Mathematical Analysis Seminar\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6092/ISSN.2240-2829/2255\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bruno Pini Mathematical Analysis Seminar","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6092/ISSN.2240-2829/2255","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Regolarità delle soluzioni di viscosità dell'equazione iconale
We study the regularity of a viscosity solution of equations of eikonal type in two dierent framework: we consider either the non-degenerate eikonal equation under low regularity assumptions on the data or a possibly degenerate eikonal equation with data having analytic regularity. Furthermore, we describe the structure of the singular set.