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| Sufficient Conditions of Blow-up and Bound Estimations of Blow-up Time for a Parabolic Equation in Multi-dimensional Space |
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| KeyWord:Sufficient conditions blow-up upper and lower bounds multi- dimensional space |
| Author Name | Affiliation | | Xiaona Miao | School of Mathematical Sciences, Qufu Normal University, Qufu, Shangdong 273165, China | | Xiaomin Xue | School of Mathematical Sciences, Qufu Normal University, Qufu, Shangdong 273165, China | | Fushan Li | School of Mathematical Sciences, Qufu Normal University, Qufu, Shangdong 273165, China |
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| Abstract: |
| In this paper, we establish some sufficient conditions on the heat source function and the heat conduction function of the parabolic equation to guarantee that u(x,t) blows up at finite time, and give upper and lower bounds of the blow-up time in multi-dimensional space. |
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