Non–simultaneous Blow–up for a Semilinear Parabolic System with Localized Reaction Terms
نویسنده
چکیده
In this paper, we study positive blow-up solutions of the semilinear parabolic system with localized reactions ut = Δu+ vr + up(0,t), vt = Δv + us + vq(0,t) in the ball B = {x ∈ R N : |x| < R} , under the homogeneous Dirichlet boundary condition. It is shown that nonsimultaneous blow-up may occur according to the value of p , q , r , and s ( p,q,r,s > 1). We also investigate blow-up rates of all total blow-up solutions when simultaneous blow-up occurs. Mathematics subject classification (2010): 34K51, 35B44.
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