We study the long-time asymptotic behavior of solutions u of the Hamilton-Jacobi equation ut(x, t) + H(x, Du(x, t)) = 0 in Ω × (0, ∞), where Ω is a bounded open subset of ℝn, with Hamiltonian H = H(x, p) being convex and coercive in p, and establish the uniform convergence of u to an asymptotic solution as t → ∞.
|ジャーナル||Calculus of Variations and Partial Differential Equations|
|出版物ステータス||Published - 2011 9|
ASJC Scopus subject areas
- Applied Mathematics