On the initial-boundary value problem for semilinear parabolic equation with controlled principal part

2018 ◽  
Vol 23 (122) ◽  
pp. 317-324
Author(s):  
Mar’yana Sergeevna Korzhavina ◽  
◽  
Vladimir Iosifovich Sumin ◽  
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Principal Part ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Semilinear Parabolic Equation ◽  
Initial Boundary Value ◽  
Semilinear Parabolic

Existence and Blow-Up of Solutions for a Degenerate Semilinear Parabolic Equation

2013 ◽  
Vol 785-786 ◽  
pp. 1454-1458
Author(s):  
Yan Ping Ran ◽  
Cong Ming Peng
Keyword(s):  
Parabolic Equation ◽  
Global Existence ◽  
Boundary Value Problem ◽  
Blow Up ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Semilinear Parabolic Equation ◽  
Initial Boundary Value ◽  
Semilinear Parabolic

This article considers the following degenerate semilinear parabolic initial-boundary value problem,where be constants. We obtained the conditions of global existence and blow-up.

Single Point Blow-Up and Regional Blow-Up of Solutions for a Degenerate Semilinear Parabolic Equation

2013 ◽  
Vol 760-762 ◽  
pp. 1777-1781
Author(s):  
Yong Ding Meng ◽  
Cong Ming Peng
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Blow Up ◽  
Boundary Value ◽  
Single Point ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Semilinear Parabolic Equation ◽  
Initial Boundary Value ◽  
Semilinear Parabolic

Let. This article considers the following degenerate semilinear parabolic initial-boundary value problem, where be constants. We obtained the blow up set and find the conditions of single point blow-up.

scholarly journals ON A 3D INITIAL-BOUNDARY VALUE PROBLEM FOR DETERMINING THE DYNAMICS OF IMPURITIES CONCENTRATION IN A HORIZONTAL LAYERED FINE-PORE MEDIUM

2019 ◽  
Vol 3 ◽  
pp. 60
Author(s):  
Sharif E. Guseynov ◽  
Ruslans Aleksejevs ◽  
Jekaterina V. Aleksejeva
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Analytical Approach ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Unsteady State ◽  
State Boundary ◽  
Initial Boundary Value

In the present paper, we propose an analytical approach for solving the 3D unsteady-state boundary-value problem for the second-order parabolic equation with the second and third types boundary conditions in two-layer rectangular parallelepipedic domain.

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