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math.AP2019
On the Fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances
Burak Erdogan, William R. Green, Ebru Toprak
We study the fourth order Schrödinger operator for a short range potential in three space dimensions. We provide a full classification of zero energy resonances and st…
math.AP2018
On the Fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances
William R. Green, Ebru Toprak
We study the fourth order Schrödinger operator for a decaying potential in four dimensions. In particular, we show that the decay rate holds in the $L^1\t…