TY - JOUR
T1 - Blow-up of Solutions of a Quasilinear Wave Equation with Nonlinear Dissipation
JO - Journal of Partial Differential Equations
VL - 3
SP - 61
EP - 67
PY - 2002
DA - 2002/08
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5455.html
KW - Blowup
KW - Quasilinear wave equation
KW - Finite time
AB -  In this paper we establish the blow up of solutions to the quasilinear wave equation with a nonlinear dissipative term u_{tt} - M(||A^{1/2}u||²_2)Au + |ut|^βu_t = |u|^pu x ∈ Ω, t > 0