论文标题
完全非线性的汉密尔顿 - 雅各比方程
Fully nonlinear Hamilton-Jacobi equations of degenerate type
论文作者
论文摘要
我们检查了在超级线汉密尔顿人在场的情况下，由完全非线性退化椭圆算子驱动的汉密尔顿 - 雅各比方程。通过探索Ishii-Jensen的不平等，我们证明粘度解决方案是局部Lipschitz-continuel的，取决于问题的结构条件。我们将调查结果应用于两阶段的无边界问题，将论文关闭。
We examine Hamilton-Jacobi equations driven by fully nonlinear degenerate elliptic operators in the presence of superlinear Hamiltonians. By exploring the Ishii-Jensen inequality, we prove that viscosity solutions are locally Lipschitz-continuous, with estimates depending on the structural conditions of the problem. We close the paper with an application of our findings to a two-phase free boundary problem.
