Higher order, linear elliptic equations of two independent variables

1974 ◽  
pp. 62-87
Author(s):  
Robert P. Gilbert
Keyword(s):  
Elliptic Equations ◽  
Higher Order ◽  
Order Linear ◽  
Independent Variables ◽  
Two Independent Variables

scholarly journals On a method for constructing Bergman kernels

1980 ◽  
Vol 29 (4) ◽  
pp. 454-461
Author(s):  
A. Azzam ◽  
E. Kreyszig
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Second Order ◽  
Partial Differential ◽  
Bergman Kernels ◽  
Order Linear ◽  
Independent Variables ◽  
New Class ◽  
Linear Partial Differential Equations ◽  
Two Independent Variables

AbstractWe establish a method of constructing kernels of Bergman operators for second-order linear partial differential equations in two independent variables, and use the method for obtaining a new class of Bergman kernels, which we call modified class E kernels since they include certain class E kernals. They also include other kernels which are suitable for global representations of solutions (whereas Bergman operators generally yield only local representations).

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