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Global Well-Posedness For A Nonlinear Wave Equation With P-Laplacian Damping, Zahava Wilstein
Global Well-Posedness For A Nonlinear Wave Equation With P-Laplacian Damping, Zahava Wilstein
Department of Mathematics: Dissertations, Theses, and Student Research
This dissertation deals with the global well-posedness of the nonlinear wave equation
utt − Δu − Δput = f (u) in Ω × (0,T),
{u(0), ut(0)} = {u0,u1} ∈ H10 (Ω) × L 2 (Ω),
u = 0 on Γ × (0, T ),
in a bounded domain Ω ⊂ ℜ n with Dirichlét boundary conditions. The nonlinearities f (u) acts as a strong source, which is allowed to …