Viscosity solutions for weakly coupled systems of first-order partial differential equations
Viscosity solutions for weakly coupled systems of first-order partial differential equations
复制标题
一阶偏微分方程弱耦合系统的粘度解
DOI：
10.1016/0022-247x(88)90199-0
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
S. Lenhart
中科院分区：
文献类型：
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作者：
S. Lenhart
Crandall和Lions关于一阶偏微分方程的粘性解的概念[7，8]可以用分量方式推广到一阶系统。获得唯一性和存在性结果的一个关键工具是最大值原理。考虑到这个工具，我们在这里考虑弱耦合线性系统的一阶偏微分方程，其中的耦合有这样的结构，允许使用最大值原理技术。
Crandall and Lions’ notion of viscosity solutions [7, 8) for first-order partial differential equations can be extended in a componentwise way to systems of first order. A key tool in obtaining uniqueness and existence results is the maximum principle. With this tool in mind, we consider here weakly coupled linear systems of first-order partial differential equations, in which the coupling has such a structure to allow the use of maximum principle techniques.