Large time behaviour for a viscous Hamilton-Jacobi equation with Neumann boundary condition

@inproceedings{Benachour2006LargeTB,
  title={Large time behaviour for a viscous Hamilton-Jacobi equation with Neumann boundary condition},
  author={S{\"a}ıd Benachour and Simona Dabuleanu},
  year={2006}
}
  • Säıd Benachour, Simona Dabuleanu
  • Published 2006
We prove the existence and the uniqueness of strong solutions for the viscous HamiltonJacobi equation: ut −∆u = a|∇u|, t > 0, x ∈ Ω with Neumann boundary condition, and initial data μ0, a continuous function. The domain Ω is a bounded and convex open set with smooth boundary, a ∈ R, a 6= 0 and p > 0. Then, we study the large time behavior of the solution… CONTINUE READING