This is a preview. Log in through your library . Abstract We prove that classical solutions of the dissipative wave equation $\varepsilon {u_{tt}} + {u_t} - {u_{xx}} - (f({u_x}))x = o$ are globally ...
We study the initial-Dirichlet problem for the fourth-order parabolic equation ∂t + Δ2 on a cylinder (0,T) × D where D ⊂ Rn is a bounded domain with Lipschitz boundary. On the lateral boundary (0,T) × ...