scholarly journals Simultaneous and non-simultaneous quenching for a coupled semilinear parabolic system in a $ n $-dimensional ball with singular localized sources

2021 ◽  
Vol 6 (7) ◽  
pp. 7704-7718
Author(s):  
W. Y. Chan ◽  

1999 ◽  
Vol 238 (2) ◽  
pp. 468-476 ◽  
Author(s):  
Marek Fila ◽  
Pavol Quittner






1993 ◽  
Vol 165 (1) ◽  
pp. 315-336 ◽  
Author(s):  
M. Escobedo ◽  
M. A. Herrero


Author(s):  
Reinhard Redlinger

SynopsisThe semilinear parabolic systemut+A(x, D)u=g(u) in (0, ∞) × Ω, Ω⊂ℝnbounded,u∈ ℝN, with homogeneous boundary conditionsB(x, D)u=0 on (0, ∞)×∂Ω is considered. The non-linearitygis assumed to be locally Lipschitz-continuous. It is shown that the orbit of a bounded regular solutionuis relatively compact in.



1998 ◽  
Vol 43 (2) ◽  
pp. 101-103
Author(s):  
Zhigui Lin ◽  
Chunhong Xie


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