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

• Autorzy: Abbes Benaissa , Salim A. Messaoudi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35L70: Nonlinear second-order hyperbolic equations
• 35L35: Initial-boundary value problems for higher-order hyperbolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 94
• Numer: 1
• Strony: 103-109

Daty

wydano

2002

Twórcy

autor

Abbes Benaissa

• Department of Mathematics, Djillali Liabes University, P.O. Box 89, Sidi Bel Abbes 22000, Algeria

autor

Salim A. Messaoudi

• Mathematical Sciences Department, KFUPM, Dhahran 31261, Saudi Arabia

Identyfikatory

DOI

10.4064/cm94-1-8