Weak solutions and blow-up for wave equations of <i>p</i>-Laplacian type with supercritical sources
Weak solutions and blow-up for wave equations of <i>p</i>-Laplacian type with supercritical sources
This paper investigates a quasilinear wave equation with Kelvin-Voigt damping, utt − Δpu − Δut = f(u), in a bounded domain Ω ⊂ ℝ3 and subject to Dirichlét boundary conditions. The operator Δp, 2 &lt; p &lt; 3, denotes the classical p-Laplacian. The nonlinear term f(u) is a source feedback …