Phase space path integral on torus for the fundamental solution of higher-order parabolic equations

2020 ◽  
Vol 11 (3) ◽  
pp. 1059-1083
Author(s):  
Naoto Kumano-go ◽  
Keiya Uchida
Keyword(s):  
Phase Space ◽  
Fundamental Solution ◽  
Path Integral ◽  
Parabolic Equations ◽  
Higher Order ◽  
Higher Order Parabolic Equations

scholarly journals On the approximation of Finsler metrics on Euclidean domains

1999 ◽  
Vol 42 (3) ◽  
pp. 589-609 ◽  
Author(s):  
G. Barbatis
Keyword(s):  
Fundamental Solution ◽  
Parabolic Equations ◽  
Higher Order ◽  
Finsler Metrics ◽  
Higher Order Parabolic Equations ◽  
Euclidean Domains

We prove that Finsler metrics on Euclidean domains can be approximated in a certain sense by so-called Finsler-type metrics. As an application we improve upon previous estimates on the fundamental solution of higher order parabolic equations.

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