Can one hear the shape of a drum?
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical question
|
| gptkbp:field |
gptkb:spectral_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Can one hear the shape of a drum?
|
| gptkbp:notableAchievement |
There exist different planar domains with the same spectrum (isospectral but non-congruent).
|
| gptkbp:notableResultAuthors |
gptkb:David_Webb
gptkb:Scott_Wolpert gptkb:Carolyn_Gordon |
| gptkbp:notableResultYear |
1992
|
| gptkbp:posedBy |
gptkb:Mark_Kac
|
| gptkbp:relatedTo |
eigenvalues
Laplacian operator isospectral domains |
| gptkbp:response |
No, in general, one cannot uniquely determine the shape of a drum from its sound spectrum.
|
| gptkbp:type |
Is it possible to determine the shape of a planar domain from the spectrum of its Laplacian?
|
| gptkbp:yearProposed |
1966
|
| gptkbp:bfsParent |
gptkb:Mark_Kac
gptkb:spectral_geometry |
| gptkbp:bfsLayer |
6
|