Remark on the well-posedness of the problem of minimization of integral functionals

1990 ◽  
Vol 65 (1) ◽  
pp. 171-178
Author(s):  
N. S. Papageorgiou
Keyword(s):  
Well Posedness ◽  
Integral Functionals ◽  
Minimization Of Integral Functionals

On minimization of integral functionals

1969 ◽  
Vol 3 (3) ◽  
pp. 218-227 ◽  
Author(s):  
A. D. Ioffe ◽  
V. M. Tikhomirov
Keyword(s):  
Integral Functionals ◽  
Minimization Of Integral Functionals

Cauchy Problem for Equations with Fractional Differentiation Bessel Operator in the Space of Temperate Distributions

2003 ◽  
Vol 8 (1) ◽  
pp. 61-75
Author(s):  
V. Litovchenko
Keyword(s):  
Functional Analysis ◽  
Cauchy Problem ◽  
Fundamental Solution ◽  
Initial Function ◽  
Well Posedness ◽  
Fractional Differentiation ◽  
Basic Tool ◽  
Conjugate Space ◽  
Analysis Technique ◽  
The Cauchy Problem

The well-posedness of the Cauchy problem, mentioned in title, is studied. The main result means that the solution of this problem is usual C∞ - function on the space argument, if the initial function is a real functional on the conjugate space to the space, containing the fundamental solution of the corresponding problem. The basic tool for the proof is the functional analysis technique.

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