A vector field method on the distorted Fourier side and decay for wave
equations with potentials [PDF]
Roland Donninger, Joachim KriegerWe study the Cauchy problem for the one-dimensional wave equation with an inverse square potential. We derive dispersive estimates, energy estimates, and estimates involving the scaling vector field, where the latter are obtained by employing a vector field method on the "distorted" Fourier side. Our results have immediate applications in the context of geometric evolution problems.View original: http://arxiv.org/abs/1307.2392
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