Trajectory controllability of a semilinear parabolic system

2017 ◽  
Vol 28 (1) ◽  
pp. 107-115
Author(s):  
Ruchi Sandilya ◽  
Raju K. George ◽  
Sarvesh Kumar
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.


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