Asymptotic behavior of degenerate elliptic equations of second order with small disturbance of domain boundary

1985 ◽  
Vol 37 (1) ◽  
pp. 36-41
Author(s):  
A. S. Slutskii
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic Equations ◽  
Domain Boundary ◽  
Second Order ◽  
Degenerate Elliptic Equations ◽  
Small Disturbance ◽  
Degenerate Elliptic

scholarly journals On a class of degenerate elliptic equations

1974 ◽  
Vol 55 ◽  
pp. 181-204 ◽  
Author(s):  
Yoshiaki Hashimoto ◽  
Tadato Matsuzawa
Keyword(s):  
Elliptic Equations ◽  
Higher Order ◽  
Elliptic Operators ◽  
Second Order ◽  
General Boundary ◽  
Degenerate Elliptic Equations ◽  
Boundary Problems ◽  
Degenerate Elliptic Operators ◽  
Degenerate Elliptic

We shall prove in Chapter I the hypoellipticity for a class of degenerate elliptic operators of higher order. Chapter II will be devoted to the consideration of the regularity at the boundary for the solutions of general boundary problems for the equations considered in Chapter I being restricted to the second order.

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