Weighted energy decay for 1D wave equation (original) (raw)

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Weighted energy decay for 1D wave equation

Journal of Mathematical Analysis and Applications, 2010

Elena KopylovaElena Kopylova

Abstract

We obtain a dispersive long time decay in weighted energy norms for solutions to the 1D wave equation with generic potential. The decay extends the results obtained by Murata for the 1D Schrödinger equation.

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