Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions
Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions
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DOI：
10.1007/s00526-010-0385-4
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发表时间：
2010-08
影响因子：
2.1
通讯作者：
H. Ishii
中科院分区：
文献类型：
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作者：
H. Ishii
研究了Hamilton Jacobi方程ut（x，t）+H（x，Du（x，t））= 0在Ω×（0，∞）中解的长时间渐近性态，其中Ω是的有界开子集，Hamilton H =H（x，p）在p中是凸的和强制的，并建立了解的一致收敛性.
We study the long-time asymptotic behavior of solutionsuof the Hamilton-Jacobi equationut(x,t) +H(x,Du(x,t)) = 0 inΩ× (0, ∞), where Ω is a bounded open subset of, with HamiltonianH=H(x,p) being convex and coercive inp, and establish the uniform convergence ofuto an asymptotic solution ast→ ∞.