Hamilton–Jacobi Homogenization and the Isospectral Problem
We consider the homogenization theory for Hamilton–Jacobi equations on the one-dimensional flat torus in connection to the isospectrality problem of Schrödinger operators. In particular, we link the equivalence of effective Hamiltonians provided by the weak KAM theory with the class of the correspon...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/7/1196 |
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Article |
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doaj-5b985f8e35444cf4bee91bd9f80ab53e2021-07-23T14:09:14ZengMDPI AGSymmetry2073-89942021-07-01131196119610.3390/sym13071196Hamilton–Jacobi Homogenization and the Isospectral ProblemLorenzo Zanelli0Department of Mathematics, “Tullio Levi-Civita” University of Padova, CAP 35121 Padova, ItalyWe consider the homogenization theory for Hamilton–Jacobi equations on the one-dimensional flat torus in connection to the isospectrality problem of Schrödinger operators. In particular, we link the equivalence of effective Hamiltonians provided by the weak KAM theory with the class of the corresponding operators exhibiting the same spectrum.https://www.mdpi.com/2073-8994/13/7/1196homogenization theorySchrödinger operatorsisospectral problem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lorenzo Zanelli |
| spellingShingle |
Lorenzo Zanelli Hamilton–Jacobi Homogenization and the Isospectral Problem Symmetry homogenization theory Schrödinger operators isospectral problem |
| author_facet |
Lorenzo Zanelli |
| author_sort |
Lorenzo Zanelli |
| title |
Hamilton–Jacobi Homogenization and the Isospectral Problem |
| title_short |
Hamilton–Jacobi Homogenization and the Isospectral Problem |
| title_full |
Hamilton–Jacobi Homogenization and the Isospectral Problem |
| title_fullStr |
Hamilton–Jacobi Homogenization and the Isospectral Problem |
| title_full_unstemmed |
Hamilton–Jacobi Homogenization and the Isospectral Problem |
| title_sort |
hamilton–jacobi homogenization and the isospectral problem |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2021-07-01 |
| description |
We consider the homogenization theory for Hamilton–Jacobi equations on the one-dimensional flat torus in connection to the isospectrality problem of Schrödinger operators. In particular, we link the equivalence of effective Hamiltonians provided by the weak KAM theory with the class of the corresponding operators exhibiting the same spectrum. |
| topic |
homogenization theory Schrödinger operators isospectral problem |
| url |
https://www.mdpi.com/2073-8994/13/7/1196 |
| work_keys_str_mv |
AT lorenzozanelli hamiltonjacobihomogenizationandtheisospectralproblem |
| _version_ |
1721285625739476992 |