ASYMPTOTIC SOLUTIONS FOR LARGE-TIME OF HAMILTON-JACOBI EQUATIONS IN EUCLIDEAN $n$ SPACE(Viscosity Solution Theory of Differential Equations and its Developments)
ASYMPTOTIC SOLUTIONS FOR LARGE-TIME OF HAMILTON-JACOBI EQUATIONS IN EUCLIDEAN $n$ SPACE(Viscosity Solution Theory of Differential Equations and its Developments)
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DOI：
10.1016/j.anihpc.2006.09.002
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发表时间：
2007-04
期刊：
影响因子：
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通讯作者：
H. Ishii
中科院分区：
文献类型：
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作者：
H. Ishii
研究了哈密顿-雅可比方程ut+H(x，Du)=0在Rn×(0，∞)中H(x，p)在Rn×Rn上连续且在p中凸的柯西问题解的大时间性态，建立了粘性解u(x，t)为t→∞的一般收敛结果.
We study the large time behavior of solutions of the Cauchy problem for the Hamilton–Jacobi equation ut+ H (x, Du)= 0 in Rn×(0,∞), where H (x, p) is continuous on Rn× Rn and convex in p. We establish a general convergence result for viscosity solutions u (x, t) of the Cauchy problem as t→∞.