This paper deals with the lower bound for blow-up solutions to a nonlinear viscoelastic hyperbolic equation. An inverse Hölder inequality with the correction constant is employed to overcome the difficulty caused by the failure of the embedding inequality and the lack of a version of the Gagliardo–Nirenberg inequality. Moreover, a lower bound for blow-up time is obtained by establishing a first-order differential inequality. This result is a continuation of an earlier work [1].
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Bin Guo 1
@article{CRMECA_2017__345_6_370_0, author = {Bin Guo}, title = {An inverse {H\"older} inequality and its application in lower bound estimates for blow-up time}, journal = {Comptes Rendus. M\'ecanique}, pages = {370--377}, publisher = {Elsevier}, volume = {345}, number = {6}, year = {2017}, doi = {10.1016/j.crme.2017.04.002}, language = {en}, }
Bin Guo. An inverse Hölder inequality and its application in lower bound estimates for blow-up time. Comptes Rendus. Mécanique, Volume 345 (2017) no. 6, pp. 370-377. doi : 10.1016/j.crme.2017.04.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.04.002/
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