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math.AP2017★ 7 cited
Damped wave equations on compact hyperbolic surfaces
Long Jin
We prove exponential decay of energy for solutions of the damped wave equation on compact hyperbolic surfaces with regular initial data as long as the damping is nontrivial. The pr…
math.AP2013★ 2 cited
Semiclassical Cauchy Estimates and Applications
Long Jin
In this note, we study solutions to semiclassical Schrodinger equations on a real analytic manifold with a real analytic potential and prove the semiclassical version of Cauchy est…