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Zbl 1193.35097
Wang, Yulan; Mu, Chunlai; Xiang, Zhaoyin
Blowup of solutions to a porous medium equation with nonlocal boundary condition. (English)
[J] Appl. Math. Comput. 192, No. 2, 579-585 (2007). ISSN 0096-3003

Summary: We investigate the blowup properties of the positive solutions to a porous medium equation with nonlocal boundary. We obtain the blowup condition and its blowup rate estimate.
MSC 2000:
*35K57 Reaction-diffusion equations
35B40 Asymptotic behavior of solutions of PDE

Keywords: porous medium equation; nonlocal boundary condition; blow up; global existence; blowup rate

Cited in: Zbl 1235.35154

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