2000 character limit reached
Exact Boundary Observability and Controllability of the Wave Equation in an Interval with two Moving Endpoints (1803.08254v1)
Published 22 Mar 2018 in math.AP and math.FA
Abstract: We study the wave equation in an interval with two linearly moving endpoints. We give the exact solution by a series formula, then we show that the energy of the solution decay at the rate $1/t$. We also establish observability results, at one or two endpoints, in a sharp time. Moreover, using the Hilbert uniqueness method, we derive exact boundary controllability results.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.