Viscosity Solutions for Hamilton-Jacobi Equations with Unbounded Nonlinear Term: A Simplified Approach
Viscosity Solutions for Hamilton-Jacobi Equations with Unbounded Nonlinear Term: A Simplified Approach
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具有无界非线性项的 Hamilton-Jacobi 方程的粘度解：一种简化方法
DOI：
10.1006/jdeq.1994.1078
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发表时间：
1994
影响因子：
2.4
通讯作者：
D. Tataru
中科院分区：
文献类型：
--
作者：
D. Tataru
摘要在前文中，作者定义了具有无界非线性项<Ax，Du>的Hamilton-Jacobi方程的概念，并证明了其解的存在唯一性。这里我们定义了这类方程的一个等价的解的概念，此外，它的优点是更简单和更直观。
Abstract In a previous paper the author defined a notion for Hamilton-Jacobi equations with an unbounded nonlinear term 〈 Ax , Du 〉 and, for such solutions, proved existence and uniqueness results. Here we define an equivalent notion of solution for such equations, which in addition has the advantage of being simpler and more intuitive.