The Blowup Properties for a Class of Nonlinear Degenerate Diffusion Equation With Nonlocal Source
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摘要: 研究了一类带非局部源的非线性退化抛物型方程.在一定条件下,证得方程的解在有限时刻爆破且爆破点集为整个区域.积分方法被用来研究解的爆破性质.Abstract: A nonlinear degenerate parabolic equation with nonlocal source was considered. It is shown that under certain assumptions the solution of the equation blows up in finite time and the set of blow-up points is the whole region. The integral method is used to investigate the blowup properties of the solution.
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Key words:
- degenerate equation /
- nonlocal source /
- blow up in finite time /
- global blowup
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