Classical solutions of the Hamilton-Jacobi-Bellman equation for uniformly elliptic operators

Classical solutions of the Hamilton-Jacobi-Bellman equation for uniformly elliptic operators
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均匀椭圆算子的 Hamilton-Jacobi-Bellman 方程的经典解

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发表时间:
1983
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通讯作者:
L. Evans
L. Evans
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作者:
L. Evans

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.在适当的假设下,证明了具有一致椭圆算子的Hamilton-Jacobi-Bellman动态规划方程max ^k<m{Lku -/*} = 0,当某个(小)保持器指数> 0时,有经典解uEC 2,.
. We prove under appropriate hypotheses that the Hamilton-Jacobi-Bellman dynamic programming equation with uniformly elliptic operators, max¡^k<m{Lku —/*} = 0, has a classical solution u E C2,ß, for some (small) Holder exponent ß > 0.