The Blowup Property of Solutions to Degenerate Parabolic Equation with Localized Nonlinear Reactions
@inproceedings{Chun2003TheBP, title={The Blowup Property of Solutions to Degenerate Parabolic Equation with Localized Nonlinear Reactions}, author={Li Chun}, year={2003} }
In this paper, we investigate the blowup property of solution to degenerate parabolic equations with localized nonlinear reactions where p ≥ q 0, p 1, 0mp(0k1, if p = q 1) and x0 is a fixed point in the domain Ω(?) RN. We show that under certain conditions the solution blows up in finite time. Moreover, we prove that the set of all blowup points is the whole region. Furthermore, the growth rate of solution near the blowup time is uniform in the domain, provided that u(.,t) are radial functions… CONTINUE READING
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