Abstract
In this paper, we investigate a initial boundary value problem of porous medium equation with nonlocal boundary condition. We find the effects of weight function in the boundary condition and competitive relationship between nonlinear memory term and inner absorption term on whether determining blow-up of solutions or not, and give the blow-up rate estimate under some suitable condition.
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Fang, Z.B., Zhang, J. Global existence and blow-up properties of solutions for porous medium equation with nonlinear memory and weighted nonlocal boundary condition. Z. Angew. Math. Phys. 66, 67–81 (2015). https://doi.org/10.1007/s00033-013-0382-5
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DOI: https://doi.org/10.1007/s00033-013-0382-5