{"title":"具有相对论算子和最大单调边界条件的非势系统","authors":"Petru Jebelean, Calin Serban","doi":"arxiv-2407.09425","DOIUrl":null,"url":null,"abstract":"We are concerned with solvability of a non-potential system involving two\nrelativistic operators, subject to boundary conditions expressed in terms of\nmaximal monotone operators. The approach makes use of a fixed point formulation\nand relies on a priori estimates and convergent to zero matrices.","PeriodicalId":501145,"journal":{"name":"arXiv - MATH - Classical Analysis and ODEs","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Non-potential systems with relativistic operators and maximal monotone boundary conditions\",\"authors\":\"Petru Jebelean, Calin Serban\",\"doi\":\"arxiv-2407.09425\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We are concerned with solvability of a non-potential system involving two\\nrelativistic operators, subject to boundary conditions expressed in terms of\\nmaximal monotone operators. The approach makes use of a fixed point formulation\\nand relies on a priori estimates and convergent to zero matrices.\",\"PeriodicalId\":501145,\"journal\":{\"name\":\"arXiv - MATH - Classical Analysis and ODEs\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Classical Analysis and ODEs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.09425\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.09425","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Non-potential systems with relativistic operators and maximal monotone boundary conditions
We are concerned with solvability of a non-potential system involving two
relativistic operators, subject to boundary conditions expressed in terms of
maximal monotone operators. The approach makes use of a fixed point formulation
and relies on a priori estimates and convergent to zero matrices.