Abstract
In this paper, we obtain the lower and the upper bounds of the blowup time of the solutions to quasi-linear parabolic problems subject to Dirichlet(or Neumann) boundary condition. Our results are suitable for the problems with any smooth bounded domain \({\Omega \subset \mathbb{R}^n}\) and \({n \geq 3}\). In some special cases, we can even get the exact values of blowup time.
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This work is supported by the National Natural Science Foundation of China, Grant 11071237.
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Bao, A., Song, X. Bounds for the blowup time of the solutions to quasi-linear parabolic problems. Z. Angew. Math. Phys. 65, 115–123 (2014). https://doi.org/10.1007/s00033-013-0325-1
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DOI: https://doi.org/10.1007/s00033-013-0325-1