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

Abbes Benaissa, and Salim A. Messaoudi. "Blow-up of solutions for the Kirchhoff equation of q-Laplacian type with nonlinear dissipation." Colloquium Mathematicae 94.1 (2002): 103-109. <http://eudml.org/doc/284692>.

@article{AbbesBenaissa2002,
abstract = {We establish the blow-up of solutions to the Kirchhoff equation of q-Laplacian type with a nonlinear dissipative term $(|u_\{t\}|^\{l-2\} u_\{t\})_\{t\} - M(||A^\{1/2\}u||²₂)Au + |u_\{t\}|^\{β\} u_\{t\} = |u|^\{p\} u$, x ∈ Ω, t > 0.},
author = {Abbes Benaissa, Salim A. Messaoudi},
journal = {Colloquium Mathematicae},
keywords = {blow-up; Kirchhoff equation of -Laplacian type; finite time},
language = {eng},
number = {1},
pages = {103-109},
title = {Blow-up of solutions for the Kirchhoff equation of q-Laplacian type with nonlinear dissipation},
url = {http://eudml.org/doc/284692},
volume = {94},
year = {2002},
}

TY - JOUR
AU - Abbes Benaissa
AU - Salim A. Messaoudi
TI - Blow-up of solutions for the Kirchhoff equation of q-Laplacian type with nonlinear dissipation
JO - Colloquium Mathematicae
PY - 2002
VL - 94
IS - 1
SP - 103
EP - 109
AB - We establish the blow-up of solutions to the Kirchhoff equation of q-Laplacian type with a nonlinear dissipative term $(|u_{t}|^{l-2} u_{t})_{t} - M(||A^{1/2}u||²₂)Au + |u_{t}|^{β} u_{t} = |u|^{p} u$, x ∈ Ω, t > 0.
LA - eng
KW - blow-up; Kirchhoff equation of -Laplacian type; finite time
UR - http://eudml.org/doc/284692
ER -