Scattering Theory Below Energy for the Cubic Fourth-Order Schrödinger Equation

Abstract

We investigate the global existence and scattering for the Fourth-order Schrödinger equation in the low regularity space Hs(Rn), s < 2. We provide an alternative approach to obtain a new Morawetz interactive estimate and extend the range of the dimension of the interactive estimate in Pausader [27] by modifying a tensor product method appeared in [7]. 

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Cite this paper

@inproceedings{Miao2009ScatteringTB, title={Scattering Theory Below Energy for the Cubic Fourth-Order Schrödinger Equation}, author={Changxing Miao and Haigen Wu and Junyong Zhang}, year={2009} }