Generalized solutions to free boundary problems for hyperbolic systems of functional partial differential equations

1990 ◽  
Vol 156 (1) ◽  
pp. 211-230 ◽  
Author(s):  
Piero Bassanini ◽  
Jan Turo
Keyword(s):  
Partial Differential Equations ◽  
Free Boundary ◽  
Differential Equations ◽  
Free Boundary Problems ◽  
Hyperbolic Systems ◽  
Generalized Solutions ◽  
Partial Differential ◽  
Boundary Problems

scholarly journals On Babinet's Principle

1958 ◽  
Vol 10 ◽  
pp. 632-640 ◽  
Author(s):  
R. C. MacCamy
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Electromagnetic Theory ◽  
Partial Differential ◽  
Boundary Problems ◽  
Plane Obstacle ◽  
Equivalent Boundary

In acoustic and electromagnetic theory much use is made of what is called the Principle of Babinet (1). The principle states that the problems of diffraction by an aperture, S, in a plane screen and by a plane obstacle occupying the position S, are equivalent. It is the intent of this paper to indicate how this notion of equivalent boundary problems, for partial differential equations, can be extended to other situations.

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