Comptes Rendus
no. 10
Non-global existence of solutions to pseudo-parabolic equations with variable exponents and positive initial energy
Menglan Liao1, 2
1 School of Mathematics, Jilin University, Changchun, Jilin Province 130012, China
2 Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
Comptes Rendus. Mécanique, Volume 347 (2019) no. 10, pp. 710-715.

This paper deals with a pseudo-parabolic equation involving variable exponents under Dirichlet boundary value condition. The author proves that the solution is not global in time when the initial energy is positive. This result extends and improves a recent result obtained by Di et al. (2017) [1].

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2019.09.003
Mots clés : Non-global existence, Variable exponents, Positive initial energy, Pseudo-parabolic equation
Menglan Liao 1, 2

1 School of Mathematics, Jilin University, Changchun, Jilin Province 130012, China
2 Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA 
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Menglan Liao. Non-global existence of solutions to pseudo-parabolic equations with variable exponents and positive initial energy. Comptes Rendus. Mécanique, Volume 347 (2019) no. 10, pp. 710-715. doi : 10.1016/j.crme.2019.09.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.09.003/

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