Existence results for first order Hamilton Jacobi equations

Existence results for first order Hamilton Jacobi equations
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一阶 Hamilton Jacobi 方程的存在性结果

DOI:
10.1016/s0294-1449(16)30415-2
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发表时间:
1984
影响因子:
1.9
通讯作者:
G. Barles
G. Barles
中科院分区:
数学1区
文献类型:
--
作者:
G. Barles

文献摘要

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相似文献

我们证明了经典的一阶汉密尔顿雅可比方程解的存在性结果。这些结果依赖于粘性解的概念,并且它们是在与有界一致连续解的唯一性最优结果相同的假设下获得的。
We prove existence results for the classical first-order Hamilton Jacobi Equations. These results rely on the notion of viscosity solution and they are obtained under the same assumptions as the uniqueness optimal results for bounded, uniformly continuous solutions.