Blow-up of solutions for the Kirchhoff equation of $q$-Laplacian type with nonlinear dissipation
Tom 94 / 2002
Colloquium Mathematicum 94 (2002), 103-109
MSC: 35L35, 35L70.
DOI: 10.4064/cm94-1-8
Streszczenie
We establish the blow-up of solutions to the Kirchhoff equation of $q$-Laplacian type with a nonlinear dissipative term $(|u_{t}|^{l-2}u_{t})_{t}-M(\| A^{1/2}u\| _{2}^{2})A u + |u_{t}|^{\beta } u_{t}=|u|^{p} u$, $x\in {\mit \Omega }$, $t> 0.$
