scholarly journals Strong backward uniqueness for sublinear parabolic equations

Author(s):  
Vedansh Arya ◽  
Agnid Banerjee
2003 ◽  
Vol 169 (2) ◽  
pp. 147-157 ◽  
Author(s):  
L. Escauriaza ◽  
G. Seregin ◽  
V. Šverák

2004 ◽  
Vol 123 (6) ◽  
pp. 4577-4579
Author(s):  
L. Escauriaza ◽  
G. Seregin ◽  
V. Šverák

Author(s):  
Daniele Del Santo ◽  
Martino Prizzi

AbstractWe prove the uniqueness for backward parabolic equations whose coefficients are Osgood continuous in time for $$t>0$$ t > 0 but not at $$t=0$$ t = 0 .


2002 ◽  
Vol 7 (1) ◽  
pp. 93-104 ◽  
Author(s):  
Mifodijus Sapagovas

Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of parabolic equation is related mainly to ”smallness” of functions, involved in nonlocal conditions. As a consequence the hypothesis has been made, stating the assumptions on functions in nonlocal conditions are related to numerical algorithms of solving parabolic equations, and not to the parabolic equation itself.


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