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This article deals with the blow-up problems of the positive solutions to a nonlinear parabolic equation with nonlocal source and nonlocal boundary condition. The blow-up and global existence conditions are obtained. For some special case, we also give out the blow-up rate estimate. © 2012 Zhong and Tian; licensee Springer.

Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition