Hamilton-Jacobi Homogenization and the Isospectral Problem

被引：0
|
作者：
Zanelli, Lorenzo [1 ]
机构：
[1] Tullio Levi Civita Univ Padova, Dept Math, I-35121 Padua, Italy
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 07期
关键词：
homogenization theory; Schrodinger operators; isospectral problem; VISCOSITY SOLUTIONS; DYNAMICS; ANALOG;
D O I：
10.3390/sym13071196
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider the homogenization theory for Hamilton-Jacobi equations on the one-dimensional flat torus in connection to the isospectrality problem of Schrodinger 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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页数：8
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