Saïd Benachour

Learn More
Global classical solutions to the viscous Hamilton-Jacobi equation ut − ∆u = a |∇u| p in (0, ∞) × Ω with homogeneous Dirichlet boundary conditions are shown to converge to zero in W 1,∞ (Ω) at the same speed as the linear heat semigroup when p > 1. For p = 1, an exponential decay to zero is also obtained in one space dimension but the rate depends on a and(More)
  • 1