In this paper, we consider an initial-boundary value problem for some nonlinear evolution equations with damping and diffusion. The main purpose is to investiga
This article is concerned with the nonlinear Dirac equations-iatψ = ich3Σk=1αkakψ- mc2βψ + Rψ(x, ψ) in R3.Under suitable assumptions on the nonlinearity
The gradient blowup of the equation u t = △u + a(x) |▽u|p + h(x), where p > 2, is studied. It is shown that the gradient blowup rate will never match that of