We consider the homogenization theory for Hamilton–Jacobi equations on the onedimensional 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.
Hamilton–jacobi homogenization and the isospectral problem
Zanelli L.
2021
Abstract
We consider the homogenization theory for Hamilton–Jacobi equations on the onedimensional 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.
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