2014 ◽  
Author(s):  
Makhmud Abdysametovich Sadybekov ◽  
Nurgissa Amankeldiuli Yessirkegenov

1972 ◽  
Vol 24 (4) ◽  
pp. 451-453 ◽  
Author(s):  
N. G. Sorokina

2015 ◽  
Vol 51 (8) ◽  
pp. 1065-1071 ◽  
Author(s):  
E. I. Moiseev ◽  
T. E. Moiseev ◽  
G. O. Vafodorova

2011 ◽  
Vol 19 (2) ◽  
pp. 111-127 ◽  
Author(s):  
M.S. Salahitdinov ◽  
N.K. Mamadaliev

1993 ◽  
Vol 12 (4) ◽  
pp. 677-682
Author(s):  
A. Scholl
Keyword(s):  

2020 ◽  
Vol 2020 ◽  
pp. 1-4
Author(s):  
Aziz Harman ◽  
Ezgi Harman

For a class of semilinear parabolic equations with discontinuous coefficients, the strong solvability of the Dirichlet problem is studied in this paper. The problem ∑i,j=1naijt,xuxixj−ut+gt,x,u=ft,x,uΓQT=0, in QT=Ω×0,T is the subject of our study, where Ω is bounded C2 or a convex subdomain of En+1,ΓQT=∂QT\∖t=T. The function gx,u is assumed to be a Caratheodory function satisfying the growth condition gt,x,u≤b0uq, for b0>0,q∈0,n+1/n−1,n≥2, and leading coefficients satisfy Cordes condition b0>0,q∈0,n+1/n−1,n≥2.


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