{"title":"Unique continuation for Robin problems with non-smooth potentials","authors":"Zongyuan Li","doi":"10.1016/j.jfa.2024.110811","DOIUrl":null,"url":null,"abstract":"<div><div>In this work, we study the unique continuation properties of Robin boundary value problems with Robin potentials <span><math><mi>η</mi><mo>∈</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>d</mi><mo>−</mo><mn>1</mn><mo>+</mo><mi>ε</mi></mrow></msub></math></span>. Our results generalize earlier ones in which <em>η</em> was assumed to be either zero (Neumann problem) or differentiable.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"288 6","pages":"Article 110811"},"PeriodicalIF":1.7000,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Functional Analysis","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022123624004993","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we study the unique continuation properties of Robin boundary value problems with Robin potentials . Our results generalize earlier ones in which η was assumed to be either zero (Neumann problem) or differentiable.
期刊介绍:
The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published.
Research Areas Include:
• Significant applications of functional analysis, including those to other areas of mathematics
• New developments in functional analysis
• Contributions to important problems in and challenges to functional analysis