Blow-up of solutions for the Kirchhoff equation of q-Laplacian type with nonlinear dissipation

Abbes Benaissa; Salim A. Messaoudi

Colloquium Mathematicae, Tome 91 (2002), p. 103-109 / Harvested from The Polish Digital Mathematics Library

Résumé

We establish the blow-up of solutions to the Kirchhoff equation of q-Laplacian type with a nonlinear dissipative term $(| u_{t} |^{l - 2} u_{t})_{t} - M (| | A^{1 / 2} u | | ² ₂) A u + | u_{t} |^{β} u_{t} = {| u |}^{p} u$ , x ∈ Ω, t > 0.

Publié le : 2002-01-01

Zbl 1090.35122

EUDML-ID : urn:eudml:doc:284692

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     title = {Blow-up of solutions for the Kirchhoff equation of q-Laplacian type with nonlinear dissipation},
     journal = {Colloquium Mathematicae},
     volume = {91},
     year = {2002},
     pages = {103-109},
     zbl = {1090.35122},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-1-8}
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Abbes Benaissa; Salim A. Messaoudi. Blow-up of solutions for the Kirchhoff equation of q-Laplacian type with nonlinear dissipation. Colloquium Mathematicae, Tome 91 (2002) pp. 103-109. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm94-1-8/