On Holder continuity of solutions of second order non-uniformly degenerate parabolic equations in divergent form

2013 ◽  
Vol 7 ◽  
pp. 4475-4482
Author(s):  
S. T. Huseynov
Keyword(s):  
Parabolic Equations ◽  
Hölder Continuity ◽  
Second Order ◽  
Degenerate Parabolic Equations ◽  
Holder Continuity ◽  
Divergent Form ◽  
Continuity Of Solutions ◽  
Degenerate Parabolic

scholarly journals Construction of fundamental solutions of hypoelliptic equations by the use of a probabilistic method

1978 ◽  
Vol 72 ◽  
pp. 103-126 ◽  
Author(s):  
T. Matsuzawa
Keyword(s):  
Parabolic Equations ◽  
Probabilistic Method ◽  
Fundamental Solutions ◽  
Second Order ◽  
Degenerate Parabolic Equations ◽  
Degenerate Parabolic ◽  
Hypoelliptic Equations

A. Friedman, [5] has constructed the fundamental solutions for a class of degenerate parabolic equations of the second order by making use of a probabilistic method and obtained the estimates for the fundamental solutions, especially near the degenerating manifolds (obstacles) of given operators, where a probabilistic method plays an important role.

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