Generalized Functions; Multiplication of Distributions; Applications to Elasticity, Elastoplasticity, Fluid Dynamics and Acoustics

1988 ◽  
pp. 13-27 ◽  
Author(s):  
J. F. Colombeau
Keyword(s):  
Fluid Dynamics ◽  
Generalized Functions ◽  
Multiplication Of Distributions

scholarly journals Extensions of nonclosable operators and multiplication of distributions

2019 ◽  
pp. 6-17
Author(s):  
Anatolij B. Antonevich ◽  
Cemal Dolicanin
Keyword(s):  
Generalized Functions ◽  
Main Obstacle ◽  
Under Construction ◽  
Multiplication Of Distributions

In the paper some new constructions of extensions of nonclosable operators is proposed and several examples of applications are given. One of particular cases of the problem under consideration is the question on multiplication of distributions, a solution to which can be given by introduction of the so-called new generalized functions. It was demonstrated that the main obstacle for multiplication of distributions is nonclosablility of classical multiplication and the construction of new generalized functions is based on the ideas similar to that used under construction of the extension of nonclosable operators.

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