Discrete analogs of the comparison theorem and two-side estimates of solution of parabolic equations

2015 ◽  
Author(s):  
P. P. Matus ◽  
R. Kozera ◽  
A. Paradzińska ◽  
D. A. Schadinskii
Keyword(s):  
Comparison Theorem ◽  
Parabolic Equations ◽  
Discrete Analogs

Discrete Analogs of the Comparison Theorem and Two-Sided Estimates of Solution of Parabolic Equations

2016 ◽  
Vol 10 (1) ◽  
pp. 83-92
Author(s):  
Piotr Matus ◽  
Ryszard Kozera ◽  
Agnieszka Paradzinska ◽  
Denis Schadinskii
Keyword(s):  
Comparison Theorem ◽  
Parabolic Equations ◽  
Discrete Analogs

Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

2002 ◽  
Vol 7 (1) ◽  
pp. 93-104 ◽  
Author(s):  
Mifodijus Sapagovas
Keyword(s):  
Parabolic Equation ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Nonlocal Condition ◽  
Nonlocal Conditions ◽  
Numerical Algorithms ◽  
Uniqueness Of The Solution

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.

Parabolic Equations with Changing Direction of Time

2020 ◽  
Vol 101 (2) ◽  
pp. 147-149
Author(s):  
S. V. Popov
Keyword(s):  
Parabolic Equations
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