Plane domains which are spectrally determined II
<p/> <p>Existence of the non-disk plane domains, which are determined from Dirichlet (or Neumann) spectrum of the Laplacian, is proved. It is shown that these domains are oval which have just four vertices when <inline-formula><graphic file="1029-242X-2002-613103-i1.gif&quo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2002-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/7/613103 |
| _version_ | 1818188741657755648 |
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| author | Watanabe Kohtaro |
| author_facet | Watanabe Kohtaro |
| author_sort | Watanabe Kohtaro |
| collection | DOAJ |
| description | <p/> <p>Existence of the non-disk plane domains, which are determined from Dirichlet (or Neumann) spectrum of the Laplacian, is proved. It is shown that these domains are oval which have just four vertices when <inline-formula><graphic file="1029-242X-2002-613103-i1.gif"/></inline-formula>, where <inline-formula><graphic file="1029-242X-2002-613103-i2.gif"/></inline-formula> denotes an area and <inline-formula><graphic file="1029-242X-2002-613103-i3.gif"/></inline-formula> a boundary length of a domain.</p> |
| first_indexed | 2024-12-11T23:31:45Z |
| format | Article |
| id | doaj.art-a8aa9e3d20064809b611168c4ab9e2e8 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-11T23:31:45Z |
| publishDate | 2002-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-a8aa9e3d20064809b611168c4ab9e2e82022-12-22T00:46:01ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2002-01-0120021613103Plane domains which are spectrally determined IIWatanabe Kohtaro<p/> <p>Existence of the non-disk plane domains, which are determined from Dirichlet (or Neumann) spectrum of the Laplacian, is proved. It is shown that these domains are oval which have just four vertices when <inline-formula><graphic file="1029-242X-2002-613103-i1.gif"/></inline-formula>, where <inline-formula><graphic file="1029-242X-2002-613103-i2.gif"/></inline-formula> denotes an area and <inline-formula><graphic file="1029-242X-2002-613103-i3.gif"/></inline-formula> a boundary length of a domain.</p>http://www.journalofinequalitiesandapplications.com/content/7/613103Trace of the heat kernelPlanar drum problemEigenvalues of the Laplacian |
| spellingShingle | Watanabe Kohtaro Plane domains which are spectrally determined II Journal of Inequalities and Applications Trace of the heat kernel Planar drum problem Eigenvalues of the Laplacian |
| title | Plane domains which are spectrally determined II |
| title_full | Plane domains which are spectrally determined II |
| title_fullStr | Plane domains which are spectrally determined II |
| title_full_unstemmed | Plane domains which are spectrally determined II |
| title_short | Plane domains which are spectrally determined II |
| title_sort | plane domains which are spectrally determined ii |
| topic | Trace of the heat kernel Planar drum problem Eigenvalues of the Laplacian |
| url | http://www.journalofinequalitiesandapplications.com/content/7/613103 |
| work_keys_str_mv | AT watanabekohtaro planedomainswhicharespectrallydeterminedii |