论文标题
关于分数半线性波方程的障碍物问题
On the obstacle problem for fractional semilinear wave equations
论文作者
论文摘要
我们通过在最小化运动的精神上使用合适的近似方案来证明半线性波方程（包括分数情况）的障碍问题的薄弱解决方案。这扩展了[9]中的结果，其中处理了线性情况。此外，在处理某些非线性波方程的单数极限时，我们推断出浓度集（例如移动界面）的某些紧凑性。
We prove existence of weak solutions to the obstacle problem for semilinear wave equations (including the fractional case) by using a suitable approximating scheme in the spirit of minimizing movements. This extends the results in [9], where the linear case was treated. In addition, we deduce some compactness properties of concentration sets (e.g. moving interfaces) when dealing with singular limits of certain nonlinear wave equations.
