scholarly journals Explicit Estimates on the Fundamental Solution of Higher-Order Parabolic Equations with Measurable Coefficients

2001 ◽  
Vol 174 (2) ◽  
pp. 442-463 ◽  
Author(s):  
G. Barbatis
Keyword(s):  
Fundamental Solution ◽  
Parabolic Equations ◽  
Higher Order ◽  
Measurable Coefficients ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document