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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2002-01-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/7/613103 |
| Summary: | <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> |
|---|---|
| ISSN: | 1025-5834 1029-242X |