Abstract theory of pointwise decay with applications to wave and Schrödinger equations

2014/11/21 by Georgescu, Vladimir, Larenas, Manuel, Soffer, Avy
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1411.5763

Abstract

We prove pointwise in time decay estimates via an abstract conjugate operator method. This is then applied to a large class of dispersive equations.

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