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Zbl 1139.35364
Cui, Zhoujin; Yang, Zuodong
Roles of weight functions to a nonlinear porous medium equation with nonlocal source and nonlocal boundary condition. (English)
[J] J. Math. Anal. Appl. 342, No. 1, 559-570 (2008). ISSN 0022-247X

Summary: We investigates the blow-up properties of the positive solutions to a porous medium equation with nonlocal reaction source and with nonlocal boundary condition, we obtain the blow-up condition and its blow-up rate estimate.
MSC 2000:
*35K60 (Nonlinear) BVP for (non)linear parabolic equations
35K65 Parabolic equations of degenerate type
35B05 General behavior of solutions of PDE

Keywords: blow-up; blow-up rate

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