Regularity of a degenerate equation

2020 ◽  
Author(s):  
Tao Wang
Keyword(s):  
Degenerate Equation

On a singularly perturbed initial value problem in the case of a double root of the degenerate equation

2013 ◽  
Vol 83 ◽  
pp. 1-11 ◽  
Author(s):  
V.F. Butuzov ◽  
N.N. Nefedov ◽  
L. Recke ◽  
K.R. Schneider
Keyword(s):  
Initial Value Problem ◽  
Singularly Perturbed ◽  
Degenerate Equation ◽  
Double Root ◽  
Initial Value

Single-point blow-up for a doubly degenerate parabolic equation with nonlinear source

2011 ◽  
Vol 141 (3) ◽  
pp. 641-654 ◽  
Author(s):  
Chunlai Mu ◽  
Rong Zeng
Keyword(s):  
Parabolic Equation ◽  
Positive Solution ◽  
Large Class ◽  
Degenerate Parabolic Equation ◽  
Blow Up ◽  
Single Point ◽  
Degenerate Equation ◽  
Nonlinear Source ◽  
Degenerate Parabolic ◽  
Image Position

This paper deals with the positive solution to the doubly degenerate equationwhere σ > 0, m > 1, β > m(1 + σ). We prove single-point blow-up for a large class of radial decreasing solutions. Furthermore, the upper and lower estimates of the blow-up solution near the single blow-up point are obtained.

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