TY - JOUR
T1 - Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions
AU - Ishii, Hitoshi
PY - 2011/9
Y1 - 2011/9
N2 - 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 → ∞.
AB - 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 → ∞.
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U2 - 10.1007/s00526-010-0385-4
DO - 10.1007/s00526-010-0385-4
M3 - Article
AN - SCOPUS:79960470757
SN - 0944-2669
VL - 42
SP - 189
EP - 209
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 1
ER -