scholarly journals On the Placement of an Obstacle So As to Optimize the Dirichlet Heat Trace

2016 ◽  
Vol 48 (2) ◽  
pp. 884-894 ◽  
Author(s):  
Ahmad El Soufi ◽  
Evans M. Harrell II
Keyword(s):  
Heat Trace

On the heat trace of schrödinger operators

1995 ◽  
Vol 20 (11-12) ◽  
pp. 2153-2164 ◽  
Author(s):  
Rodrigo Bañuelos ◽  
Antônio Sá Barreto
Keyword(s):  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Heat Trace

HEAT KERNEL ASYMPTOTICS FOR ROOTS OF GENERALIZED LAPLACIANS

2003 ◽  
Vol 14 (04) ◽  
pp. 397-412 ◽  
Author(s):  
CHRISTIAN BÄR ◽  
SERGIU MOROIANU
Keyword(s):  
Heat Kernel ◽  
Closed Manifold ◽  
Type Operator ◽  
Wodzicki Residue ◽  
Heat Trace ◽  
Heat Kernel Asymptotics ◽  
Laplace Type

We describe the heat kernel asymptotics for roots of a Laplace type operator Δ on a closed manifold. A previously known relation between the Wodzicki residue of Δ and heat trace asymptotics is shown to hold pointwise for the corresponding densities.

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