Beyond quenching for degenerate singular semilinear parabolic equations

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摘要

Let q be a nonzero real constant greater than −1, D=(0,a), Ω=D×(0,∞), D̄ and Ω̄ be their respective closures, Lu=xqut−uxx, andχS=1ifu∈S,0ifu∉Sbe the characteristic function of the set S. Beyond quenching is studied for the problem,Lu=f(u)χ{u

论文关键词:Beyond quenching,Weak solution,ω-Limit set,Weak steady-state solution

论文评审过程:Available online 25 October 2001.

论文官网地址:https://doi.org/10.1016/S0096-3003(99)00277-5