Representations of solutions of nonlocal boundary-value problems for parabolic equations

1994 ◽  
Vol 46 (7) ◽  
pp. 1039-1044 ◽  
Author(s):  
L. I. Korbut ◽  
M. I. Matiichuk
Filomat ◽  
2016 ◽  
Vol 30 (3) ◽  
pp. 885-904
Author(s):  
Allaberen Ashyralyev ◽  
Nese Nalbant

In the present paper, the positivity of the differential operator with nonlocal boundary conditions is established. The structure of fractional spaces is investigated. In applications, we will obtain new coercive inequalities for the solution of local and nonlocal boundary value problems for parabolic equations.


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