Journal of Jilin University Science Edition
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MENG Fanhui1, GAO Wenjie2
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This paper deals with the global existence and blowup of solutions to a quasilinear parabolic equation ut=f(u)(Δ u+a∫Ω u(y,t)dy-u) with nonlocal boundary condition u(x,t)=∫Ωk(x,y)u(y,t)dy on Ω, where Ω is a bounded domain in ??綆N with smooth boundary Ω. Under some hypotheses on f(s) and k(x,y), we gave sufficient conditions for the finite time blowup or global existence of solutions. In addition, the blowup rate of solutions was derived for a special case.
Key words: nonlocal boundary condition, global existence, blowup, blowup rate
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MENG Fanhui, GAO Wenjie. Global Existence and Blowup of Solutions for a Quasilinear Parabolic Equation with Nonlocal Boundary Condition[J].Journal of Jilin University Science Edition, 2013, 51(04): 561-567.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2013/V51/I04/561
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