Abstract
In this paper, the authors prove that the solution blows up in a finite time for a larger class of initial data, namely positive initial energy. The results generalize and improve that of Giacomoni et al. (J Math Anal Appl 410:607–624, 2014). Furthermore, a lower bound estimate about blow-up time is also established. Finally, two examples are given in the paper to show the existence of the initial datum satisfying the conditions in the main theorem.
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Guo, B., Gao, W. Blow-up of Solutions to Quasilinear Parabolic Equations with Singular Absorption and a Positive Initial Energy. Mediterr. J. Math. 13, 2853–2861 (2016). https://doi.org/10.1007/s00009-015-0660-x
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DOI: https://doi.org/10.1007/s00009-015-0660-x