scholarly journals An Estimate on the Heat Kernel of Magnetic Schrödinger Operators and Uniformly Elliptic Operators with Non-Negative Potentials

2000 ◽  
Vol 62 (3) ◽  
pp. 885-903 ◽  
Author(s):  
Kazuhiro Kurata
Keyword(s):  
Heat Kernel ◽  
Schrödinger Operators ◽  
Elliptic Operators ◽  
Schrodinger Operators

scholarly journals Heat Kernel Coefficients for Two-Dimensional Schrödinger Operators

2008 ◽  
Vol 283 (3) ◽  
pp. 853-860 ◽  
Author(s):  
Yuri Berest ◽  
Tim Cramer ◽  
Farkhod Eshmatov
Keyword(s):  
Heat Kernel ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Two Dimensional

scholarly journals Finite propagation speed and kernels of strictly elliptic operators

1985 ◽  
Vol 8 (1) ◽  
pp. 75-91 ◽  
Author(s):  
David Gurarie
Keyword(s):  
Singular Perturbation ◽  
Schrödinger Operators ◽  
Propagation Speed ◽  
Elliptic Operators ◽  
Schrodinger Operators ◽  
Finite Propagation ◽  
Finite Propagation Speed

We establish estimates of the resolvent and other related kernels and discussLp-theory for a class of strictly elliptic operators onRn. The class of operators considered in the paper is of the formA0+Bwith the leading elliptic partA0and a “singular” perturbationB, whose coefficients haveLp-type and are modeled after Schrödinger operators.

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