论文标题
在渐近圆柱和圆锥歧管上阻尼的klein-gordon方程的指数衰减
Exponential decay for damped Klein-Gordon equations on asymptotically cylindrical and conic manifolds
论文作者
论文摘要
我们研究了在有限的许多圆柱形和亚频率的非紧缩歧管上，阻尼的klein-gordon方程的全球能量衰减最终会遇到界限。我们证明，在几何控制条件下，衰减是指数的，并且在较弱的网络控制条件下，衰减是对数，通过开发具有多重权重的全球Carleman估计值。
We study the decay of the global energy for the damped Klein-Gordon equation on non-compact manifolds with finitely many cylindrical and subconic ends up to bounded perturbation. We prove that under the Geometric Control Condition, the decay is exponential, and that under the weaker Network Control Condition, the decay is logarithmic, by developing the global Carleman estimate with multiple weights.
