II.3. Parabolic Equations – Local Behavior of Solutions

2014 ◽  
pp. 179-222
Author(s):  
Gary M. Lieberman
Keyword(s):  
Parabolic Equations ◽  
Local Behavior

On the local behavior of solutions of singular parabolic equations

1988 ◽  
Vol 103 (4) ◽  
pp. 319-345 ◽  
Author(s):  
Chen Ya-zhe ◽  
Emmanuele Di Benedetto
Keyword(s):  
Parabolic Equations ◽  
Local Behavior ◽  
Singular Parabolic Equations

scholarly journals Harnack's Estimates: Positivity and Local Behavior of Degenerate and Singular Parabolic Equations

2007 ◽  
Vol 2007 ◽  
pp. 1-5
Author(s):  
Emmanuele DiBenedetto ◽  
Ugo Gianazza ◽  
Mikhail Safonov ◽  
José Miguel Urbano ◽  
Vincenzo Vespri
Keyword(s):  
Parabolic Equations ◽  
Local Behavior ◽  
Singular Parabolic Equations

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.

The two-phase Stefan problem for parabolic equations

2019 ◽  
Vol 2019 (4) ◽  
pp. 54-64
Author(s):  
A.N. Elmurodov
Keyword(s):  
Stefan Problem ◽  
Parabolic Equations ◽  
Two Phase
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