Heat kernels of two-dimensional magnetic Schrodinger and Pauli operators

被引：16
作者：
Kovarik, Hynek [1 ]
机构：
[1] Politecn Torino, Dipartimento Matemat, Turin, Italy
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 44卷 / 3-4期
关键词：
INEQUALITY; SEMIGROUPS; BEHAVIOR; FIELDS;
D O I：
10.1007/s00526-011-0437-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the heat semigroups generated by two-dimensional magnetic Schrodinger and Pauli operators with compactly supported magnetic field. We show that the large time behaviour of the associated heat kernels is determined by the total flux of the magnetic fields.
引用
收藏
页码：351 / 374
页数：24
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