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Construction of a domain that fails the global boundary Harnack principle via the Helmholtz equation
| Title: | Construction of a domain that fails the global boundary Harnack principle via the Helmholtz equation |
| Authors: | Aikawa, Hiroaki Browse this author →KAKEN DB |
| Issue Date: | Jun-2016 |
| Publisher: | Oxford University Press |
| Journal Title: | Journal of the London Mathematical Society. Second series |
| Volume: | 93 |
| Issue: | 3 |
| Start Page: | 721 |
| End Page: | 740 |
| Publisher DOI: | 10.1112/jlms/jdw016 |
| Abstract: | We show the sharpness of the modulus of continuity of a function f for which the domain lying above the graph of f satisfies the global boundary Harnack principle, with the aid of precise estimates of the Poisson integrals with respect to the Helmholtz equation in the half space. |
| Rights: | This is the accepted version of the following article: Aikawa, H. (2016), Construction of a domain that fails the global boundary Harnack principle via the Helmholtz equation. Journal of the London Mathematical Society, 93: 721–740, which has been published in final form at doi:10.1112/jlms/jdw016. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/66353 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 相川 弘明
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