The reconstruction of a wave equation from one side measurement
classification
🧮 math.AP
keywords
equationwavemeasurementpotentialreconstructionsolutionboundaryconcerned
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We are concerned with the reconstruction of a one dimensional wave equation, where the potential is known in a neighborhood of one of the end points of the boundary. We show then the sought potential can be determined by one single measurement of the solution at that end. We also show that the solution can be evaluated at the other end without the need of solving the wave the equation.
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